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Finding the Fourth Proportional to 277,001.30, 415,428.03 and 77,286.59

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Solution

The fourth proportional to 277,001.30, 415,428.03 and 77,286.59 is: 115,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,001.30 : 415,428.03 = 77,286.59 : x
  2. Step 2: Convert to fraction form
    277,001.30/415,428.03 = 77,286.59/x
  3. Step 3: Cross multiply
    277,001.30x = 415,428.03 × 77,286.59
  4. Step 4: Simplify right side
    277,001.30x = 32,107,013,751.98
  5. Step 5: Solve for x
    x = 32,107,013,751.98/277,001.30
  6. Step 6: Final answer
    x = 115,909.26

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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.