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Finding the Fourth Proportional to 274,959.40, 412,438.78 and 75,281.32

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Solution

The fourth proportional to 274,959.40, 412,438.78 and 75,281.32 is: 112,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,959.40 : 412,438.78 = 75,281.32 : x
  2. Step 2: Convert to fraction form
    274,959.40/412,438.78 = 75,281.32/x
  3. Step 3: Cross multiply
    274,959.40x = 412,438.78 × 75,281.32
  4. Step 4: Simplify right side
    274,959.40x = 31,048,935,777.59
  5. Step 5: Solve for x
    x = 31,048,935,777.59/274,959.40
  6. Step 6: Final answer
    x = 112,921.89

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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.