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Finding the Fourth Proportional to 512,619, 707,420.16 and 283,171.54

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Solution

The fourth proportional to 512,619, 707,420.16 and 283,171.54 is: 390,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,619 : 707,420.16 = 283,171.54 : x
  2. Step 2: Convert to fraction form
    512,619/707,420.16 = 283,171.54/x
  3. Step 3: Cross multiply
    512,619x = 707,420.16 × 283,171.54
  4. Step 4: Simplify right side
    512,619x = 200,321,254,365.70
  5. Step 5: Solve for x
    x = 200,321,254,365.70/512,619
  6. Step 6: Final answer
    x = 390,780.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.