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Finding the Fourth Proportional to 486,654.21, 729,923.81 and 149,694.21

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Solution

The fourth proportional to 486,654.21, 729,923.81 and 149,694.21 is: 224,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,654.21 : 729,923.81 = 149,694.21 : x
  2. Step 2: Convert to fraction form
    486,654.21/729,923.81 = 149,694.21/x
  3. Step 3: Cross multiply
    486,654.21x = 729,923.81 × 149,694.21
  4. Step 4: Simplify right side
    486,654.21x = 109,265,367,349.67
  5. Step 5: Solve for x
    x = 109,265,367,349.67/486,654.21
  6. Step 6: Final answer
    x = 224,523.62

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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.