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Finding the Fourth Proportional to 310,791.62, 466,141.28 and 86,128.64

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Solution

The fourth proportional to 310,791.62, 466,141.28 and 86,128.64 is: 129,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,791.62 : 466,141.28 = 86,128.64 : x
  2. Step 2: Convert to fraction form
    310,791.62/466,141.28 = 86,128.64/x
  3. Step 3: Cross multiply
    310,791.62x = 466,141.28 × 86,128.64
  4. Step 4: Simplify right side
    310,791.62x = 40,148,112,378.87
  5. Step 5: Solve for x
    x = 40,148,112,378.87/310,791.62
  6. Step 6: Final answer
    x = 129,180.16

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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.