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Finding the Fourth Proportional to 305,886.83, 422,191.34 and 169,967.49

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Solution

The fourth proportional to 305,886.83, 422,191.34 and 169,967.49 is: 234,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.83 : 422,191.34 = 169,967.49 : x
  2. Step 2: Convert to fraction form
    305,886.83/422,191.34 = 169,967.49/x
  3. Step 3: Cross multiply
    305,886.83x = 422,191.34 × 169,967.49
  4. Step 4: Simplify right side
    305,886.83x = 71,758,801,509.70
  5. Step 5: Solve for x
    x = 71,758,801,509.70/305,886.83
  6. Step 6: Final answer
    x = 234,592.65

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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.