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Finding the Fourth Proportional to 408,800.65, 613,203.71 and 142,560.13

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Solution

The fourth proportional to 408,800.65, 613,203.71 and 142,560.13 is: 213,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,800.65 : 613,203.71 = 142,560.13 : x
  2. Step 2: Convert to fraction form
    408,800.65/613,203.71 = 142,560.13/x
  3. Step 3: Cross multiply
    408,800.65x = 613,203.71 × 142,560.13
  4. Step 4: Simplify right side
    408,800.65x = 87,418,402,147.09
  5. Step 5: Solve for x
    x = 87,418,402,147.09/408,800.65
  6. Step 6: Final answer
    x = 213,841.15

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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.