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Finding the Fourth Proportional to 457,381.93, 686,074.40 and 115,825.17

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Solution

The fourth proportional to 457,381.93, 686,074.40 and 115,825.17 is: 173,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,381.93 : 686,074.40 = 115,825.17 : x
  2. Step 2: Convert to fraction form
    457,381.93/686,074.40 = 115,825.17/x
  3. Step 3: Cross multiply
    457,381.93x = 686,074.40 × 115,825.17
  4. Step 4: Simplify right side
    457,381.93x = 79,464,684,012.65
  5. Step 5: Solve for x
    x = 79,464,684,012.65/457,381.93
  6. Step 6: Final answer
    x = 173,738.14

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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.