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Finding the Fourth Proportional to 486,651.20, 729,978.51 and 149,689.58

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Solution

The fourth proportional to 486,651.20, 729,978.51 and 149,689.58 is: 224,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,651.20 : 729,978.51 = 149,689.58 : x
  2. Step 2: Convert to fraction form
    486,651.20/729,978.51 = 149,689.58/x
  3. Step 3: Cross multiply
    486,651.20x = 729,978.51 × 149,689.58
  4. Step 4: Simplify right side
    486,651.20x = 109,270,172,921.03
  5. Step 5: Solve for x
    x = 109,270,172,921.03/486,651.20
  6. Step 6: Final answer
    x = 224,534.89

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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.