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Finding the Fourth Proportional to 374,643.40, 561,770.70 and 137,864.20

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Solution

The fourth proportional to 374,643.40, 561,770.70 and 137,864.20 is: 206,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,643.40 : 561,770.70 = 137,864.20 : x
  2. Step 2: Convert to fraction form
    374,643.40/561,770.70 = 137,864.20/x
  3. Step 3: Cross multiply
    374,643.40x = 561,770.70 × 137,864.20
  4. Step 4: Simplify right side
    374,643.40x = 77,448,068,138.94
  5. Step 5: Solve for x
    x = 77,448,068,138.94/374,643.40
  6. Step 6: Final answer
    x = 206,724.76

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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.