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Finding the Fourth Proportional to 512,577.50, 707,354.13 and 283,150.57

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Solution

The fourth proportional to 512,577.50, 707,354.13 and 283,150.57 is: 390,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,577.50 : 707,354.13 = 283,150.57 : x
  2. Step 2: Convert to fraction form
    512,577.50/707,354.13 = 283,150.57/x
  3. Step 3: Cross multiply
    512,577.50x = 707,354.13 × 283,150.57
  4. Step 4: Simplify right side
    512,577.50x = 200,287,721,564.58
  5. Step 5: Solve for x
    x = 200,287,721,564.58/512,577.50
  6. Step 6: Final answer
    x = 390,746.23

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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.