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Finding the Fourth Proportional to 460,141.88, 690,179.80 and 144,689

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Solution

The fourth proportional to 460,141.88, 690,179.80 and 144,689 is: 217,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,141.88 : 690,179.80 = 144,689 : x
  2. Step 2: Convert to fraction form
    460,141.88/690,179.80 = 144,689/x
  3. Step 3: Cross multiply
    460,141.88x = 690,179.80 × 144,689
  4. Step 4: Simplify right side
    460,141.88x = 99,861,425,082.20
  5. Step 5: Solve for x
    x = 99,861,425,082.20/460,141.88
  6. Step 6: Final answer
    x = 217,023.12

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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.