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Finding the Fourth Proportional to 531,502.61, 797,714.53 and 278,961.48

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Solution

The fourth proportional to 531,502.61, 797,714.53 and 278,961.48 is: 418,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,502.61 : 797,714.53 = 278,961.48 : x
  2. Step 2: Convert to fraction form
    531,502.61/797,714.53 = 278,961.48/x
  3. Step 3: Cross multiply
    531,502.61x = 797,714.53 × 278,961.48
  4. Step 4: Simplify right side
    531,502.61x = 222,531,625,208.90
  5. Step 5: Solve for x
    x = 222,531,625,208.90/531,502.61
  6. Step 6: Final answer
    x = 418,683.98

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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.