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Finding the Fourth Proportional to 502,495.20, 753,505.20 and 292,197.60

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Solution

The fourth proportional to 502,495.20, 753,505.20 and 292,197.60 is: 438,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,495.20 : 753,505.20 = 292,197.60 : x
  2. Step 2: Convert to fraction form
    502,495.20/753,505.20 = 292,197.60/x
  3. Step 3: Cross multiply
    502,495.20x = 753,505.20 × 292,197.60
  4. Step 4: Simplify right side
    502,495.20x = 220,172,411,027.52
  5. Step 5: Solve for x
    x = 220,172,411,027.52/502,495.20
  6. Step 6: Final answer
    x = 438,158.24

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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.