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Finding the Fourth Proportional to 218,923.44, 302,107.50 and 123,428.76

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Solution

The fourth proportional to 218,923.44, 302,107.50 and 123,428.76 is: 170,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923.44 : 302,107.50 = 123,428.76 : x
  2. Step 2: Convert to fraction form
    218,923.44/302,107.50 = 123,428.76/x
  3. Step 3: Cross multiply
    218,923.44x = 302,107.50 × 123,428.76
  4. Step 4: Simplify right side
    218,923.44x = 37,288,754,111.70
  5. Step 5: Solve for x
    x = 37,288,754,111.70/218,923.44
  6. Step 6: Final answer
    x = 170,327.83

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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.