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Finding the Fourth Proportional to 312,422.69, 431,143.20 and 169,182.69

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Solution

The fourth proportional to 312,422.69, 431,143.20 and 169,182.69 is: 233,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.69 : 431,143.20 = 169,182.69 : x
  2. Step 2: Convert to fraction form
    312,422.69/431,143.20 = 169,182.69/x
  3. Step 3: Cross multiply
    312,422.69x = 431,143.20 × 169,182.69
  4. Step 4: Simplify right side
    312,422.69x = 72,941,966,351.21
  5. Step 5: Solve for x
    x = 72,941,966,351.21/312,422.69
  6. Step 6: Final answer
    x = 233,472.06

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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.