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Finding the Fourth Proportional to 431,657.40, 647,291.70 and 194,878.20

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Solution

The fourth proportional to 431,657.40, 647,291.70 and 194,878.20 is: 292,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,657.40 : 647,291.70 = 194,878.20 : x
  2. Step 2: Convert to fraction form
    431,657.40/647,291.70 = 194,878.20/x
  3. Step 3: Cross multiply
    431,657.40x = 647,291.70 × 194,878.20
  4. Step 4: Simplify right side
    431,657.40x = 126,143,041,370.94
  5. Step 5: Solve for x
    x = 126,143,041,370.94/431,657.40
  6. Step 6: Final answer
    x = 292,229.54

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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.