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Finding the Fourth Proportional to 531,515.74, 797,312.49 and 215,978.62

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Solution

The fourth proportional to 531,515.74, 797,312.49 and 215,978.62 is: 323,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,515.74 : 797,312.49 = 215,978.62 : x
  2. Step 2: Convert to fraction form
    531,515.74/797,312.49 = 215,978.62/x
  3. Step 3: Cross multiply
    531,515.74x = 797,312.49 × 215,978.62
  4. Step 4: Simplify right side
    531,515.74x = 172,202,451,298.96
  5. Step 5: Solve for x
    x = 172,202,451,298.96/531,515.74
  6. Step 6: Final answer
    x = 323,983.73

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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.