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Finding the Fourth Proportional to 502,431.80, 753,866.40 and 253,113.80

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Solution

The fourth proportional to 502,431.80, 753,866.40 and 253,113.80 is: 379,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,431.80 : 753,866.40 = 253,113.80 : x
  2. Step 2: Convert to fraction form
    502,431.80/753,866.40 = 253,113.80/x
  3. Step 3: Cross multiply
    502,431.80x = 753,866.40 × 253,113.80
  4. Step 4: Simplify right side
    502,431.80x = 190,813,989,196.32
  5. Step 5: Solve for x
    x = 190,813,989,196.32/502,431.80
  6. Step 6: Final answer
    x = 379,780.88

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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.