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Finding the Fourth Proportional to 408,265.41, 612,463.86 and 142,101.57

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Solution

The fourth proportional to 408,265.41, 612,463.86 and 142,101.57 is: 213,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,265.41 : 612,463.86 = 142,101.57 : x
  2. Step 2: Convert to fraction form
    408,265.41/612,463.86 = 142,101.57/x
  3. Step 3: Cross multiply
    408,265.41x = 612,463.86 × 142,101.57
  4. Step 4: Simplify right side
    408,265.41x = 87,032,076,074.26
  5. Step 5: Solve for x
    x = 87,032,076,074.26/408,265.41
  6. Step 6: Final answer
    x = 213,175.24

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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.