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Finding the Fourth Proportional to 512,577.12, 707,341.98 and 283,129.86

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Solution

The fourth proportional to 512,577.12, 707,341.98 and 283,129.86 is: 390,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,577.12 : 707,341.98 = 283,129.86 : x
  2. Step 2: Convert to fraction form
    512,577.12/707,341.98 = 283,129.86/x
  3. Step 3: Cross multiply
    512,577.12x = 707,341.98 × 283,129.86
  4. Step 4: Simplify right side
    512,577.12x = 200,269,635,769.52
  5. Step 5: Solve for x
    x = 200,269,635,769.52/512,577.12
  6. Step 6: Final answer
    x = 390,711.23

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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.