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Finding the Fourth Proportional to 417,693.40, 626,540.10 and 137,219.80

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Solution

The fourth proportional to 417,693.40, 626,540.10 and 137,219.80 is: 205,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,693.40 : 626,540.10 = 137,219.80 : x
  2. Step 2: Convert to fraction form
    417,693.40/626,540.10 = 137,219.80/x
  3. Step 3: Cross multiply
    417,693.40x = 626,540.10 × 137,219.80
  4. Step 4: Simplify right side
    417,693.40x = 85,973,707,213.98
  5. Step 5: Solve for x
    x = 85,973,707,213.98/417,693.40
  6. Step 6: Final answer
    x = 205,829.70

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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.