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Finding the Fourth Proportional to 276,466.23, 414,754.71 and 86,974.29

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Solution

The fourth proportional to 276,466.23, 414,754.71 and 86,974.29 is: 130,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,466.23 : 414,754.71 = 86,974.29 : x
  2. Step 2: Convert to fraction form
    276,466.23/414,754.71 = 86,974.29/x
  3. Step 3: Cross multiply
    276,466.23x = 414,754.71 × 86,974.29
  4. Step 4: Simplify right side
    276,466.23x = 36,072,996,426.41
  5. Step 5: Solve for x
    x = 36,072,996,426.41/276,466.23
  6. Step 6: Final answer
    x = 130,478.85

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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.