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Finding the Fourth Proportional to 287,841.70, 431,759.52 and 98,299.90

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Solution

The fourth proportional to 287,841.70, 431,759.52 and 98,299.90 is: 147,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,841.70 : 431,759.52 = 98,299.90 : x
  2. Step 2: Convert to fraction form
    287,841.70/431,759.52 = 98,299.90/x
  3. Step 3: Cross multiply
    287,841.70x = 431,759.52 × 98,299.90
  4. Step 4: Simplify right side
    287,841.70x = 42,441,917,640.05
  5. Step 5: Solve for x
    x = 42,441,917,640.05/287,841.70
  6. Step 6: Final answer
    x = 147,448.82

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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.