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Finding the Fourth Proportional to 277,781.29, 383,369.30 and 156,930.36

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Solution

The fourth proportional to 277,781.29, 383,369.30 and 156,930.36 is: 216,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,781.29 : 383,369.30 = 156,930.36 : x
  2. Step 2: Convert to fraction form
    277,781.29/383,369.30 = 156,930.36/x
  3. Step 3: Cross multiply
    277,781.29x = 383,369.30 × 156,930.36
  4. Step 4: Simplify right side
    277,781.29x = 60,162,282,261.95
  5. Step 5: Solve for x
    x = 60,162,282,261.95/277,781.29
  6. Step 6: Final answer
    x = 216,581.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.