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Finding the Fourth Proportional to 410,038.30, 615,062.97 and 143,806.59

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Solution

The fourth proportional to 410,038.30, 615,062.97 and 143,806.59 is: 215,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.30 : 615,062.97 = 143,806.59 : x
  2. Step 2: Convert to fraction form
    410,038.30/615,062.97 = 143,806.59/x
  3. Step 3: Cross multiply
    410,038.30x = 615,062.97 × 143,806.59
  4. Step 4: Simplify right side
    410,038.30x = 88,450,108,350.97
  5. Step 5: Solve for x
    x = 88,450,108,350.97/410,038.30
  6. Step 6: Final answer
    x = 215,711.82

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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.