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Finding the Fourth Proportional to 457,381.92, 686,074.39 and 115,825.16

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Solution

The fourth proportional to 457,381.92, 686,074.39 and 115,825.16 is: 173,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,381.92 : 686,074.39 = 115,825.16 : x
  2. Step 2: Convert to fraction form
    457,381.92/686,074.39 = 115,825.16/x
  3. Step 3: Cross multiply
    457,381.92x = 686,074.39 × 115,825.16
  4. Step 4: Simplify right side
    457,381.92x = 79,464,673,560.11
  5. Step 5: Solve for x
    x = 79,464,673,560.11/457,381.92
  6. Step 6: Final answer
    x = 173,738.12

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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.