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Finding the Fourth Proportional to 486,765.60, 729,156.92 and 397,127.76

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Solution

The fourth proportional to 486,765.60, 729,156.92 and 397,127.76 is: 594,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,765.60 : 729,156.92 = 397,127.76 : x
  2. Step 2: Convert to fraction form
    486,765.60/729,156.92 = 397,127.76/x
  3. Step 3: Cross multiply
    486,765.60x = 729,156.92 × 397,127.76
  4. Step 4: Simplify right side
    486,765.60x = 289,568,454,328.10
  5. Step 5: Solve for x
    x = 289,568,454,328.10/486,765.60
  6. Step 6: Final answer
    x = 594,882.74

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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.