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Finding the Fourth Proportional to 305,920.80, 422,176.05 and 169,967.16

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Solution

The fourth proportional to 305,920.80, 422,176.05 and 169,967.16 is: 234,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,920.80 : 422,176.05 = 169,967.16 : x
  2. Step 2: Convert to fraction form
    305,920.80/422,176.05 = 169,967.16/x
  3. Step 3: Cross multiply
    305,920.80x = 422,176.05 × 169,967.16
  4. Step 4: Simplify right side
    305,920.80x = 71,756,064,238.52
  5. Step 5: Solve for x
    x = 71,756,064,238.52/305,920.80
  6. Step 6: Final answer
    x = 234,557.65

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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.