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Finding the Fourth Proportional to 431,783.22, 647,718.03 and 132,260.34

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Solution

The fourth proportional to 431,783.22, 647,718.03 and 132,260.34 is: 198,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,783.22 : 647,718.03 = 132,260.34 : x
  2. Step 2: Convert to fraction form
    431,783.22/647,718.03 = 132,260.34/x
  3. Step 3: Cross multiply
    431,783.22x = 647,718.03 × 132,260.34
  4. Step 4: Simplify right side
    431,783.22x = 85,667,406,871.93
  5. Step 5: Solve for x
    x = 85,667,406,871.93/431,783.22
  6. Step 6: Final answer
    x = 198,403.74

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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.