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Finding the Fourth Proportional to 408,792, 613,270 and 142,481

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Solution

The fourth proportional to 408,792, 613,270 and 142,481 is: 213,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,792 : 613,270 = 142,481 : x
  2. Step 2: Convert to fraction form
    408,792/613,270 = 142,481/x
  3. Step 3: Cross multiply
    408,792x = 613,270 × 142,481
  4. Step 4: Simplify right side
    408,792x = 87,379,322,870
  5. Step 5: Solve for x
    x = 87,379,322,870/408,792
  6. Step 6: Final answer
    x = 213,750.08

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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.