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Finding the Fourth Proportional to 220,429.76, 304,195.37 and 119,827.76

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Solution

The fourth proportional to 220,429.76, 304,195.37 and 119,827.76 is: 165,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,429.76 : 304,195.37 = 119,827.76 : x
  2. Step 2: Convert to fraction form
    220,429.76/304,195.37 = 119,827.76/x
  3. Step 3: Cross multiply
    220,429.76x = 304,195.37 × 119,827.76
  4. Step 4: Simplify right side
    220,429.76x = 36,451,047,669.36
  5. Step 5: Solve for x
    x = 36,451,047,669.36/220,429.76
  6. Step 6: Final answer
    x = 165,363.55

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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.