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Finding the Fourth Proportional to 498,425.82, 747,726.35 and 214,290.78

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Solution

The fourth proportional to 498,425.82, 747,726.35 and 214,290.78 is: 321,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,425.82 : 747,726.35 = 214,290.78 : x
  2. Step 2: Convert to fraction form
    498,425.82/747,726.35 = 214,290.78/x
  3. Step 3: Cross multiply
    498,425.82x = 747,726.35 × 214,290.78
  4. Step 4: Simplify right side
    498,425.82x = 160,230,861,696.60
  5. Step 5: Solve for x
    x = 160,230,861,696.60/498,425.82
  6. Step 6: Final answer
    x = 321,473.84

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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.