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Finding the Fourth Proportional to 498,468.60, 747,800.10 and 214,158.60

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Solution

The fourth proportional to 498,468.60, 747,800.10 and 214,158.60 is: 321,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,468.60 : 747,800.10 = 214,158.60 : x
  2. Step 2: Convert to fraction form
    498,468.60/747,800.10 = 214,158.60/x
  3. Step 3: Cross multiply
    498,468.60x = 747,800.10 × 214,158.60
  4. Step 4: Simplify right side
    498,468.60x = 160,147,822,495.86
  5. Step 5: Solve for x
    x = 160,147,822,495.86/498,468.60
  6. Step 6: Final answer
    x = 321,279.66

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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.