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Finding the Fourth Proportional to 280,562.28, 420,902.64 and 91,007.94

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Solution

The fourth proportional to 280,562.28, 420,902.64 and 91,007.94 is: 136,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,562.28 : 420,902.64 = 91,007.94 : x
  2. Step 2: Convert to fraction form
    280,562.28/420,902.64 = 91,007.94/x
  3. Step 3: Cross multiply
    280,562.28x = 420,902.64 × 91,007.94
  4. Step 4: Simplify right side
    280,562.28x = 38,305,482,206.96
  5. Step 5: Solve for x
    x = 38,305,482,206.96/280,562.28
  6. Step 6: Final answer
    x = 136,531.12

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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.