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Finding the Fourth Proportional to 502,513.76, 693,495.54 and 284,764.66

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Solution

The fourth proportional to 502,513.76, 693,495.54 and 284,764.66 is: 392,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,513.76 : 693,495.54 = 284,764.66 : x
  2. Step 2: Convert to fraction form
    502,513.76/693,495.54 = 284,764.66/x
  3. Step 3: Cross multiply
    502,513.76x = 693,495.54 × 284,764.66
  4. Step 4: Simplify right side
    502,513.76x = 197,483,021,659.62
  5. Step 5: Solve for x
    x = 197,483,021,659.62/502,513.76
  6. Step 6: Final answer
    x = 392,990.28

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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.