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Finding the Fourth Proportional to 431,760.57, 647,642.06 and 165,602.67

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Solution

The fourth proportional to 431,760.57, 647,642.06 and 165,602.67 is: 248,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,760.57 : 647,642.06 = 165,602.67 : x
  2. Step 2: Convert to fraction form
    431,760.57/647,642.06 = 165,602.67/x
  3. Step 3: Cross multiply
    431,760.57x = 647,642.06 × 165,602.67
  4. Step 4: Simplify right side
    431,760.57x = 107,251,254,340.30
  5. Step 5: Solve for x
    x = 107,251,254,340.30/431,760.57
  6. Step 6: Final answer
    x = 248,404.47

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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.