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Finding the Fourth Proportional to 431,462.75, 647,287.54 and 165,223.28

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Solution

The fourth proportional to 431,462.75, 647,287.54 and 165,223.28 is: 247,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,462.75 : 647,287.54 = 165,223.28 : x
  2. Step 2: Convert to fraction form
    431,462.75/647,287.54 = 165,223.28/x
  3. Step 3: Cross multiply
    431,462.75x = 647,287.54 × 165,223.28
  4. Step 4: Simplify right side
    431,462.75x = 106,946,968,026.10
  5. Step 5: Solve for x
    x = 106,946,968,026.10/431,462.75
  6. Step 6: Final answer
    x = 247,870.69

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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.