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Finding the Fourth Proportional to 276,484.76, 414,712.56 and 136,196

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Solution

The fourth proportional to 276,484.76, 414,712.56 and 136,196 is: 204,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,484.76 : 414,712.56 = 136,196 : x
  2. Step 2: Convert to fraction form
    276,484.76/414,712.56 = 136,196/x
  3. Step 3: Cross multiply
    276,484.76x = 414,712.56 × 136,196
  4. Step 4: Simplify right side
    276,484.76x = 56,482,191,821.76
  5. Step 5: Solve for x
    x = 56,482,191,821.76/276,484.76
  6. Step 6: Final answer
    x = 204,286.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.