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Finding the Fourth Proportional to 218,872.80, 302,194.80 and 165,218.40

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Solution

The fourth proportional to 218,872.80, 302,194.80 and 165,218.40 is: 228,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.80 : 302,194.80 = 165,218.40 : x
  2. Step 2: Convert to fraction form
    218,872.80/302,194.80 = 165,218.40/x
  3. Step 3: Cross multiply
    218,872.80x = 302,194.80 × 165,218.40
  4. Step 4: Simplify right side
    218,872.80x = 49,928,141,344.32
  5. Step 5: Solve for x
    x = 49,928,141,344.32/218,872.80
  6. Step 6: Final answer
    x = 228,114.87

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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.