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Finding the Fourth Proportional to 486,651.18, 729,978.54 and 149,689.56

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Solution

The fourth proportional to 486,651.18, 729,978.54 and 149,689.56 is: 224,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,651.18 : 729,978.54 = 149,689.56 : x
  2. Step 2: Convert to fraction form
    486,651.18/729,978.54 = 149,689.56/x
  3. Step 3: Cross multiply
    486,651.18x = 729,978.54 × 149,689.56
  4. Step 4: Simplify right side
    486,651.18x = 109,270,166,462.04
  5. Step 5: Solve for x
    x = 109,270,166,462.04/486,651.18
  6. Step 6: Final answer
    x = 224,534.88

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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.