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Finding the Fourth Proportional to 498,756.60, 748,232.10 and 214,446.60

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Solution

The fourth proportional to 498,756.60, 748,232.10 and 214,446.60 is: 321,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,756.60 : 748,232.10 = 214,446.60 : x
  2. Step 2: Convert to fraction form
    498,756.60/748,232.10 = 214,446.60/x
  3. Step 3: Cross multiply
    498,756.60x = 748,232.10 × 214,446.60
  4. Step 4: Simplify right side
    498,756.60x = 160,455,829,855.86
  5. Step 5: Solve for x
    x = 160,455,829,855.86/498,756.60
  6. Step 6: Final answer
    x = 321,711.69

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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.