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Finding the Fourth Proportional to 504,407.92, 696,082.68 and 278,057.20

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Solution

The fourth proportional to 504,407.92, 696,082.68 and 278,057.20 is: 383,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,407.92 : 696,082.68 = 278,057.20 : x
  2. Step 2: Convert to fraction form
    504,407.92/696,082.68 = 278,057.20/x
  3. Step 3: Cross multiply
    504,407.92x = 696,082.68 × 278,057.20
  4. Step 4: Simplify right side
    504,407.92x = 193,550,800,969.30
  5. Step 5: Solve for x
    x = 193,550,800,969.30/504,407.92
  6. Step 6: Final answer
    x = 383,718.80

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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.