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Finding the Fourth Proportional to 321,901.60, 482,938.80 and 287,082.40

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Solution

The fourth proportional to 321,901.60, 482,938.80 and 287,082.40 is: 430,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,901.60 : 482,938.80 = 287,082.40 : x
  2. Step 2: Convert to fraction form
    321,901.60/482,938.80 = 287,082.40/x
  3. Step 3: Cross multiply
    321,901.60x = 482,938.80 × 287,082.40
  4. Step 4: Simplify right side
    321,901.60x = 138,643,229,757.12
  5. Step 5: Solve for x
    x = 138,643,229,757.12/321,901.60
  6. Step 6: Final answer
    x = 430,700.65

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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.