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Finding the Fourth Proportional to 305,891.64, 422,116.20 and 169,934.40

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Solution

The fourth proportional to 305,891.64, 422,116.20 and 169,934.40 is: 234,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,891.64 : 422,116.20 = 169,934.40 : x
  2. Step 2: Convert to fraction form
    305,891.64/422,116.20 = 169,934.40/x
  3. Step 3: Cross multiply
    305,891.64x = 422,116.20 × 169,934.40
  4. Step 4: Simplify right side
    305,891.64x = 71,732,063,177.28
  5. Step 5: Solve for x
    x = 71,732,063,177.28/305,891.64
  6. Step 6: Final answer
    x = 234,501.55

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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.