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Finding the Fourth Proportional to 454,077.28, 680,066.16 and 438,330.88

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Solution

The fourth proportional to 454,077.28, 680,066.16 and 438,330.88 is: 656,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,077.28 : 680,066.16 = 438,330.88 : x
  2. Step 2: Convert to fraction form
    454,077.28/680,066.16 = 438,330.88/x
  3. Step 3: Cross multiply
    454,077.28x = 680,066.16 × 438,330.88
  4. Step 4: Simplify right side
    454,077.28x = 298,093,998,371.02
  5. Step 5: Solve for x
    x = 298,093,998,371.02/454,077.28
  6. Step 6: Final answer
    x = 656,482.96

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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.