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Finding the Fourth Proportional to 498,272.20, 746,630.70 and 431,398.60

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Solution

The fourth proportional to 498,272.20, 746,630.70 and 431,398.60 is: 646,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,272.20 : 746,630.70 = 431,398.60 : x
  2. Step 2: Convert to fraction form
    498,272.20/746,630.70 = 431,398.60/x
  3. Step 3: Cross multiply
    498,272.20x = 746,630.70 × 431,398.60
  4. Step 4: Simplify right side
    498,272.20x = 322,095,438,697.02
  5. Step 5: Solve for x
    x = 322,095,438,697.02/498,272.20
  6. Step 6: Final answer
    x = 646,424.66

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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.