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Finding the Fourth Proportional to 499,082.76, 688,856.60 and 284,349.44

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Solution

The fourth proportional to 499,082.76, 688,856.60 and 284,349.44 is: 392,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,082.76 : 688,856.60 = 284,349.44 : x
  2. Step 2: Convert to fraction form
    499,082.76/688,856.60 = 284,349.44/x
  3. Step 3: Cross multiply
    499,082.76x = 688,856.60 × 284,349.44
  4. Step 4: Simplify right side
    499,082.76x = 195,875,988,450.30
  5. Step 5: Solve for x
    x = 195,875,988,450.30/499,082.76
  6. Step 6: Final answer
    x = 392,471.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.