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Finding the Fourth Proportional to 312,367.52, 431,065.23 and 169,127.12

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Solution

The fourth proportional to 312,367.52, 431,065.23 and 169,127.12 is: 233,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,367.52 : 431,065.23 = 169,127.12 : x
  2. Step 2: Convert to fraction form
    312,367.52/431,065.23 = 169,127.12/x
  3. Step 3: Cross multiply
    312,367.52x = 431,065.23 × 169,127.12
  4. Step 4: Simplify right side
    312,367.52x = 72,904,820,882.04
  5. Step 5: Solve for x
    x = 72,904,820,882.04/312,367.52
  6. Step 6: Final answer
    x = 233,394.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.