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Finding the Fourth Proportional to 374,538.54, 561,863.73 and 137,863.20

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Solution

The fourth proportional to 374,538.54, 561,863.73 and 137,863.20 is: 206,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,538.54 : 561,863.73 = 137,863.20 : x
  2. Step 2: Convert to fraction form
    374,538.54/561,863.73 = 137,863.20/x
  3. Step 3: Cross multiply
    374,538.54x = 561,863.73 × 137,863.20
  4. Step 4: Simplify right side
    374,538.54x = 77,460,331,781.74
  5. Step 5: Solve for x
    x = 77,460,331,781.74/374,538.54
  6. Step 6: Final answer
    x = 206,815.38

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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.