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Finding the Fourth Proportional to 218,278.41, 327,417.71 and 98,195.10

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Solution

The fourth proportional to 218,278.41, 327,417.71 and 98,195.10 is: 147,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,278.41 : 327,417.71 = 98,195.10 : x
  2. Step 2: Convert to fraction form
    218,278.41/327,417.71 = 98,195.10/x
  3. Step 3: Cross multiply
    218,278.41x = 327,417.71 × 98,195.10
  4. Step 4: Simplify right side
    218,278.41x = 32,150,815,450.50
  5. Step 5: Solve for x
    x = 32,150,815,450.50/218,278.41
  6. Step 6: Final answer
    x = 147,292.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.