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Finding the Fourth Proportional to 276,929.97, 415,358.03 and 77,233.64

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Solution

The fourth proportional to 276,929.97, 415,358.03 and 77,233.64 is: 115,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,929.97 : 415,358.03 = 77,233.64 : x
  2. Step 2: Convert to fraction form
    276,929.97/415,358.03 = 77,233.64/x
  3. Step 3: Cross multiply
    276,929.97x = 415,358.03 × 77,233.64
  4. Step 4: Simplify right side
    276,929.97x = 32,079,610,676.42
  5. Step 5: Solve for x
    x = 32,079,610,676.42/276,929.97
  6. Step 6: Final answer
    x = 115,840.16

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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.