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Finding the Fourth Proportional to 218,878.40, 328,123.20 and 144,034.40

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Solution

The fourth proportional to 218,878.40, 328,123.20 and 144,034.40 is: 215,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,878.40 : 328,123.20 = 144,034.40 : x
  2. Step 2: Convert to fraction form
    218,878.40/328,123.20 = 144,034.40/x
  3. Step 3: Cross multiply
    218,878.40x = 328,123.20 × 144,034.40
  4. Step 4: Simplify right side
    218,878.40x = 47,261,028,238.08
  5. Step 5: Solve for x
    x = 47,261,028,238.08/218,878.40
  6. Step 6: Final answer
    x = 215,923.67

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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.