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Finding the Fourth Proportional to 392,981.10, 589,471.65 and 112,461.90

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Solution

The fourth proportional to 392,981.10, 589,471.65 and 112,461.90 is: 168,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,981.10 : 589,471.65 = 112,461.90 : x
  2. Step 2: Convert to fraction form
    392,981.10/589,471.65 = 112,461.90/x
  3. Step 3: Cross multiply
    392,981.10x = 589,471.65 × 112,461.90
  4. Step 4: Simplify right side
    392,981.10x = 66,293,101,755.14
  5. Step 5: Solve for x
    x = 66,293,101,755.14/392,981.10
  6. Step 6: Final answer
    x = 168,692.85

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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.