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Finding the Fourth Proportional to 486,658.68, 729,989.76 and 149,697.06

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Solution

The fourth proportional to 486,658.68, 729,989.76 and 149,697.06 is: 224,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,658.68 : 729,989.76 = 149,697.06 : x
  2. Step 2: Convert to fraction form
    486,658.68/729,989.76 = 149,697.06/x
  3. Step 3: Cross multiply
    486,658.68x = 729,989.76 × 149,697.06
  4. Step 4: Simplify right side
    486,658.68x = 109,277,320,902.11
  5. Step 5: Solve for x
    x = 109,277,320,902.11/486,658.68
  6. Step 6: Final answer
    x = 224,546.13

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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.