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Finding the Fourth Proportional to 277,221, 415,882.73 and 87,729.04

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Solution

The fourth proportional to 277,221, 415,882.73 and 87,729.04 is: 131,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,221 : 415,882.73 = 87,729.04 : x
  2. Step 2: Convert to fraction form
    277,221/415,882.73 = 87,729.04/x
  3. Step 3: Cross multiply
    277,221x = 415,882.73 × 87,729.04
  4. Step 4: Simplify right side
    277,221x = 36,484,992,655.48
  5. Step 5: Solve for x
    x = 36,484,992,655.48/277,221
  6. Step 6: Final answer
    x = 131,609.77

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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.