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Finding the Fourth Proportional to 218,878.76, 302,034.56 and 123,408.92

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Solution

The fourth proportional to 218,878.76, 302,034.56 and 123,408.92 is: 170,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,878.76 : 302,034.56 = 123,408.92 : x
  2. Step 2: Convert to fraction form
    218,878.76/302,034.56 = 123,408.92/x
  3. Step 3: Cross multiply
    218,878.76x = 302,034.56 × 123,408.92
  4. Step 4: Simplify right side
    218,878.76x = 37,273,758,852.28
  5. Step 5: Solve for x
    x = 37,273,758,852.28/218,878.76
  6. Step 6: Final answer
    x = 170,294.09

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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.