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Finding the Fourth Proportional to 305,891.70, 422,118.82 and 169,934.20

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Solution

The fourth proportional to 305,891.70, 422,118.82 and 169,934.20 is: 234,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,891.70 : 422,118.82 = 169,934.20 : x
  2. Step 2: Convert to fraction form
    305,891.70/422,118.82 = 169,934.20/x
  3. Step 3: Cross multiply
    305,891.70x = 422,118.82 × 169,934.20
  4. Step 4: Simplify right side
    305,891.70x = 71,732,423,981.64
  5. Step 5: Solve for x
    x = 71,732,423,981.64/305,891.70
  6. Step 6: Final answer
    x = 234,502.68

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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.