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Finding the Fourth Proportional to 312,422.42, 431,143.17 and 169,182.62

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Solution

The fourth proportional to 312,422.42, 431,143.17 and 169,182.62 is: 233,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.42 : 431,143.17 = 169,182.62 : x
  2. Step 2: Convert to fraction form
    312,422.42/431,143.17 = 169,182.62/x
  3. Step 3: Cross multiply
    312,422.42x = 431,143.17 × 169,182.62
  4. Step 4: Simplify right side
    312,422.42x = 72,941,931,095.71
  5. Step 5: Solve for x
    x = 72,941,931,095.71/312,422.42
  6. Step 6: Final answer
    x = 233,472.14

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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.