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Finding the Fourth Proportional to 502,429.80, 753,863.40 and 253,111.80

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Solution

The fourth proportional to 502,429.80, 753,863.40 and 253,111.80 is: 379,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,429.80 : 753,863.40 = 253,111.80 : x
  2. Step 2: Convert to fraction form
    502,429.80/753,863.40 = 253,111.80/x
  3. Step 3: Cross multiply
    502,429.80x = 753,863.40 × 253,111.80
  4. Step 4: Simplify right side
    502,429.80x = 190,811,722,128.12
  5. Step 5: Solve for x
    x = 190,811,722,128.12/502,429.80
  6. Step 6: Final answer
    x = 379,777.88

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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.