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Finding the Fourth Proportional to 408,876.58, 613,107.51 and 187,070.50

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Solution

The fourth proportional to 408,876.58, 613,107.51 and 187,070.50 is: 280,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,876.58 : 613,107.51 = 187,070.50 : x
  2. Step 2: Convert to fraction form
    408,876.58/613,107.51 = 187,070.50/x
  3. Step 3: Cross multiply
    408,876.58x = 613,107.51 × 187,070.50
  4. Step 4: Simplify right side
    408,876.58x = 114,694,328,449.46
  5. Step 5: Solve for x
    x = 114,694,328,449.46/408,876.58
  6. Step 6: Final answer
    x = 280,510.88

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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.