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Finding the Fourth Proportional to 431,959.89, 648,040.82 and 147,652.64

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Solution

The fourth proportional to 431,959.89, 648,040.82 and 147,652.64 is: 221,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,959.89 : 648,040.82 = 147,652.64 : x
  2. Step 2: Convert to fraction form
    431,959.89/648,040.82 = 147,652.64/x
  3. Step 3: Cross multiply
    431,959.89x = 648,040.82 × 147,652.64
  4. Step 4: Simplify right side
    431,959.89x = 95,684,933,922.30
  5. Step 5: Solve for x
    x = 95,684,933,922.30/431,959.89
  6. Step 6: Final answer
    x = 221,513.47

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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.