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Finding the Fourth Proportional to 220,471.32, 304,248.78 and 119,869.32

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Solution

The fourth proportional to 220,471.32, 304,248.78 and 119,869.32 is: 165,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,471.32 : 304,248.78 = 119,869.32 : x
  2. Step 2: Convert to fraction form
    220,471.32/304,248.78 = 119,869.32/x
  3. Step 3: Cross multiply
    220,471.32x = 304,248.78 × 119,869.32
  4. Step 4: Simplify right side
    220,471.32x = 36,470,094,369.43
  5. Step 5: Solve for x
    x = 36,470,094,369.43/220,471.32
  6. Step 6: Final answer
    x = 165,418.77

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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.