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Finding the Fourth Proportional to 502,098.78, 692,901.24 and 275,744.28

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Solution

The fourth proportional to 502,098.78, 692,901.24 and 275,744.28 is: 380,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,098.78 : 692,901.24 = 275,744.28 : x
  2. Step 2: Convert to fraction form
    502,098.78/692,901.24 = 275,744.28/x
  3. Step 3: Cross multiply
    502,098.78x = 692,901.24 × 275,744.28
  4. Step 4: Simplify right side
    502,098.78x = 191,063,553,534.91
  5. Step 5: Solve for x
    x = 191,063,553,534.91/502,098.78
  6. Step 6: Final answer
    x = 380,529.81

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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.