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Finding the Fourth Proportional to 502,672.86, 692,974.71 and 399,796.38

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Solution

The fourth proportional to 502,672.86, 692,974.71 and 399,796.38 is: 551,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,672.86 : 692,974.71 = 399,796.38 : x
  2. Step 2: Convert to fraction form
    502,672.86/692,974.71 = 399,796.38/x
  3. Step 3: Cross multiply
    502,672.86x = 692,974.71 × 399,796.38
  4. Step 4: Simplify right side
    502,672.86x = 277,048,780,489.55
  5. Step 5: Solve for x
    x = 277,048,780,489.55/502,672.86
  6. Step 6: Final answer
    x = 551,151.26

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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.