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Finding the Fourth Proportional to 219,169, 302,454.84 and 134,342.56

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Solution

The fourth proportional to 219,169, 302,454.84 and 134,342.56 is: 185,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,169 : 302,454.84 = 134,342.56 : x
  2. Step 2: Convert to fraction form
    219,169/302,454.84 = 134,342.56/x
  3. Step 3: Cross multiply
    219,169x = 302,454.84 × 134,342.56
  4. Step 4: Simplify right side
    219,169x = 40,632,557,489.99
  5. Step 5: Solve for x
    x = 40,632,557,489.99/219,169
  6. Step 6: Final answer
    x = 185,393.73

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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.