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Finding the Fourth Proportional to 431,278.60, 647,148.30 and 194,657.80

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Solution

The fourth proportional to 431,278.60, 647,148.30 and 194,657.80 is: 292,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,278.60 : 647,148.30 = 194,657.80 : x
  2. Step 2: Convert to fraction form
    431,278.60/647,148.30 = 194,657.80/x
  3. Step 3: Cross multiply
    431,278.60x = 647,148.30 × 194,657.80
  4. Step 4: Simplify right side
    431,278.60x = 125,972,464,351.74
  5. Step 5: Solve for x
    x = 125,972,464,351.74/431,278.60
  6. Step 6: Final answer
    x = 292,090.69

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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.