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Finding the Fourth Proportional to 312,434.62, 431,160.18 and 169,194.88

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Solution

The fourth proportional to 312,434.62, 431,160.18 and 169,194.88 is: 233,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,434.62 : 431,160.18 = 169,194.88 : x
  2. Step 2: Convert to fraction form
    312,434.62/431,160.18 = 169,194.88/x
  3. Step 3: Cross multiply
    312,434.62x = 431,160.18 × 169,194.88
  4. Step 4: Simplify right side
    312,434.62x = 72,950,094,915.88
  5. Step 5: Solve for x
    x = 72,950,094,915.88/312,434.62
  6. Step 6: Final answer
    x = 233,489.15

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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.