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Finding the Fourth Proportional to 408,829.42, 613,346.19 and 142,593.76

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Solution

The fourth proportional to 408,829.42, 613,346.19 and 142,593.76 is: 213,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,829.42 : 613,346.19 = 142,593.76 : x
  2. Step 2: Convert to fraction form
    408,829.42/613,346.19 = 142,593.76/x
  3. Step 3: Cross multiply
    408,829.42x = 613,346.19 × 142,593.76
  4. Step 4: Simplify right side
    408,829.42x = 87,459,339,413.77
  5. Step 5: Solve for x
    x = 87,459,339,413.77/408,829.42
  6. Step 6: Final answer
    x = 213,926.24

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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.