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Finding the Fourth Proportional to 217,470.80, 326,253.12 and 65,655.28

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Solution

The fourth proportional to 217,470.80, 326,253.12 and 65,655.28 is: 98,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,470.80 : 326,253.12 = 65,655.28 : x
  2. Step 2: Convert to fraction form
    217,470.80/326,253.12 = 65,655.28/x
  3. Step 3: Cross multiply
    217,470.80x = 326,253.12 × 65,655.28
  4. Step 4: Simplify right side
    217,470.80x = 21,420,240,108.61
  5. Step 5: Solve for x
    x = 21,420,240,108.61/217,470.80
  6. Step 6: Final answer
    x = 98,497.08

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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.