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Finding the Fourth Proportional to 312,414.84, 431,132.76 and 169,175.12

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Solution

The fourth proportional to 312,414.84, 431,132.76 and 169,175.12 is: 233,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,414.84 : 431,132.76 = 169,175.12 : x
  2. Step 2: Convert to fraction form
    312,414.84/431,132.76 = 169,175.12/x
  3. Step 3: Cross multiply
    312,414.84x = 431,132.76 × 169,175.12
  4. Step 4: Simplify right side
    312,414.84x = 72,936,934,253.27
  5. Step 5: Solve for x
    x = 72,936,934,253.27/312,414.84
  6. Step 6: Final answer
    x = 233,461.81

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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.