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Finding the Fourth Proportional to 502,221.89, 693,071.30 and 272,781.40

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Solution

The fourth proportional to 502,221.89, 693,071.30 and 272,781.40 is: 376,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,221.89 : 693,071.30 = 272,781.40 : x
  2. Step 2: Convert to fraction form
    502,221.89/693,071.30 = 272,781.40/x
  3. Step 3: Cross multiply
    502,221.89x = 693,071.30 × 272,781.40
  4. Step 4: Simplify right side
    502,221.89x = 189,056,959,513.82
  5. Step 5: Solve for x
    x = 189,056,959,513.82/502,221.89
  6. Step 6: Final answer
    x = 376,441.10

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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.