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Finding the Fourth Proportional to 374,135.80, 561,203.70 and 137,648.20

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Solution

The fourth proportional to 374,135.80, 561,203.70 and 137,648.20 is: 206,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,135.80 : 561,203.70 = 137,648.20 : x
  2. Step 2: Convert to fraction form
    374,135.80/561,203.70 = 137,648.20/x
  3. Step 3: Cross multiply
    374,135.80x = 561,203.70 × 137,648.20
  4. Step 4: Simplify right side
    374,135.80x = 77,248,679,138.34
  5. Step 5: Solve for x
    x = 77,248,679,138.34/374,135.80
  6. Step 6: Final answer
    x = 206,472.30

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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.