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Finding the Fourth Proportional to 516,261.28, 774,094 and 200,348.96

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Solution

The fourth proportional to 516,261.28, 774,094 and 200,348.96 is: 300,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,261.28 : 774,094 = 200,348.96 : x
  2. Step 2: Convert to fraction form
    516,261.28/774,094 = 200,348.96/x
  3. Step 3: Cross multiply
    516,261.28x = 774,094 × 200,348.96
  4. Step 4: Simplify right side
    516,261.28x = 155,088,927,842.24
  5. Step 5: Solve for x
    x = 155,088,927,842.24/516,261.28
  6. Step 6: Final answer
    x = 300,407.82

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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.