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Finding the Fourth Proportional to 216,209.52, 324,314.28 and 68,454

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Solution

The fourth proportional to 216,209.52, 324,314.28 and 68,454 is: 102,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,209.52 : 324,314.28 = 68,454 : x
  2. Step 2: Convert to fraction form
    216,209.52/324,314.28 = 68,454/x
  3. Step 3: Cross multiply
    216,209.52x = 324,314.28 × 68,454
  4. Step 4: Simplify right side
    216,209.52x = 22,200,609,723.12
  5. Step 5: Solve for x
    x = 22,200,609,723.12/216,209.52
  6. Step 6: Final answer
    x = 102,681.00

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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.