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Finding the Fourth Proportional to 310,785.96, 466,182.39 and 86,148.33

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Solution

The fourth proportional to 310,785.96, 466,182.39 and 86,148.33 is: 129,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785.96 : 466,182.39 = 86,148.33 : x
  2. Step 2: Convert to fraction form
    310,785.96/466,182.39 = 86,148.33/x
  3. Step 3: Cross multiply
    310,785.96x = 466,182.39 × 86,148.33
  4. Step 4: Simplify right side
    310,785.96x = 40,160,834,373.91
  5. Step 5: Solve for x
    x = 40,160,834,373.91/310,785.96
  6. Step 6: Final answer
    x = 129,223.45

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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.