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Finding the Fourth Proportional to 374,654.70, 561,982.05 and 137,948.40

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Solution

The fourth proportional to 374,654.70, 561,982.05 and 137,948.40 is: 206,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,654.70 : 561,982.05 = 137,948.40 : x
  2. Step 2: Convert to fraction form
    374,654.70/561,982.05 = 137,948.40/x
  3. Step 3: Cross multiply
    374,654.70x = 561,982.05 × 137,948.40
  4. Step 4: Simplify right side
    374,654.70x = 77,524,524,626.22
  5. Step 5: Solve for x
    x = 77,524,524,626.22/374,654.70
  6. Step 6: Final answer
    x = 206,922.60

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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.