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Finding the Fourth Proportional to 486,310.72, 729,444.24 and 149,337.76

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Solution

The fourth proportional to 486,310.72, 729,444.24 and 149,337.76 is: 223,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,310.72 : 729,444.24 = 149,337.76 : x
  2. Step 2: Convert to fraction form
    486,310.72/729,444.24 = 149,337.76/x
  3. Step 3: Cross multiply
    486,310.72x = 729,444.24 × 149,337.76
  4. Step 4: Simplify right side
    486,310.72x = 108,933,568,846.50
  5. Step 5: Solve for x
    x = 108,933,568,846.50/486,310.72
  6. Step 6: Final answer
    x = 223,999.93

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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.