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Finding the Fourth Proportional to 516,076.20, 774,114.30 and 397,978.20

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Solution

The fourth proportional to 516,076.20, 774,114.30 and 397,978.20 is: 596,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,076.20 : 774,114.30 = 397,978.20 : x
  2. Step 2: Convert to fraction form
    516,076.20/774,114.30 = 397,978.20/x
  3. Step 3: Cross multiply
    516,076.20x = 774,114.30 × 397,978.20
  4. Step 4: Simplify right side
    516,076.20x = 308,080,615,708.26
  5. Step 5: Solve for x
    x = 308,080,615,708.26/516,076.20
  6. Step 6: Final answer
    x = 596,967.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.