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Finding the Fourth Proportional to 310,326.60, 465,720.30 and 123,472.20

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Solution

The fourth proportional to 310,326.60, 465,720.30 and 123,472.20 is: 185,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.60 : 465,720.30 = 123,472.20 : x
  2. Step 2: Convert to fraction form
    310,326.60/465,720.30 = 123,472.20/x
  3. Step 3: Cross multiply
    310,326.60x = 465,720.30 × 123,472.20
  4. Step 4: Simplify right side
    310,326.60x = 57,503,510,025.66
  5. Step 5: Solve for x
    x = 57,503,510,025.66/310,326.60
  6. Step 6: Final answer
    x = 185,299.97

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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.