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Finding the Fourth Proportional to 431,131.76, 646,775.40 and 194,585.84

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Solution

The fourth proportional to 431,131.76, 646,775.40 and 194,585.84 is: 291,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,131.76 : 646,775.40 = 194,585.84 : x
  2. Step 2: Convert to fraction form
    431,131.76/646,775.40 = 194,585.84/x
  3. Step 3: Cross multiply
    431,131.76x = 646,775.40 × 194,585.84
  4. Step 4: Simplify right side
    431,131.76x = 125,853,334,500.34
  5. Step 5: Solve for x
    x = 125,853,334,500.34/431,131.76
  6. Step 6: Final answer
    x = 291,913.86

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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.