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Finding the Fourth Proportional to 408,795.68, 613,196.26 and 142,555.16

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Solution

The fourth proportional to 408,795.68, 613,196.26 and 142,555.16 is: 213,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,795.68 : 613,196.26 = 142,555.16 : x
  2. Step 2: Convert to fraction form
    408,795.68/613,196.26 = 142,555.16/x
  3. Step 3: Cross multiply
    408,795.68x = 613,196.26 × 142,555.16
  4. Step 4: Simplify right side
    408,795.68x = 87,414,292,132.30
  5. Step 5: Solve for x
    x = 87,414,292,132.30/408,795.68
  6. Step 6: Final answer
    x = 213,833.70

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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.