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Finding the Fourth Proportional to 502,572.30, 753,992.10 and 218,140.80

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Solution

The fourth proportional to 502,572.30, 753,992.10 and 218,140.80 is: 327,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,572.30 : 753,992.10 = 218,140.80 : x
  2. Step 2: Convert to fraction form
    502,572.30/753,992.10 = 218,140.80/x
  3. Step 3: Cross multiply
    502,572.30x = 753,992.10 × 218,140.80
  4. Step 4: Simplify right side
    502,572.30x = 164,476,439,887.68
  5. Step 5: Solve for x
    x = 164,476,439,887.68/502,572.30
  6. Step 6: Final answer
    x = 327,269.21

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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.