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Finding the Fourth Proportional to 310,912.13, 466,368.42 and 86,272.79

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Solution

The fourth proportional to 310,912.13, 466,368.42 and 86,272.79 is: 129,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.13 : 466,368.42 = 86,272.79 : x
  2. Step 2: Convert to fraction form
    310,912.13/466,368.42 = 86,272.79/x
  3. Step 3: Cross multiply
    310,912.13x = 466,368.42 × 86,272.79
  4. Step 4: Simplify right side
    310,912.13x = 40,234,904,761.29
  5. Step 5: Solve for x
    x = 40,234,904,761.29/310,912.13
  6. Step 6: Final answer
    x = 129,409.25

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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.