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Finding the Fourth Proportional to 277,083.78, 382,371.18 and 156,225.30

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Solution

The fourth proportional to 277,083.78, 382,371.18 and 156,225.30 is: 215,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083.78 : 382,371.18 = 156,225.30 : x
  2. Step 2: Convert to fraction form
    277,083.78/382,371.18 = 156,225.30/x
  3. Step 3: Cross multiply
    277,083.78x = 382,371.18 × 156,225.30
  4. Step 4: Simplify right side
    277,083.78x = 59,736,052,306.85
  5. Step 5: Solve for x
    x = 59,736,052,306.85/277,083.78
  6. Step 6: Final answer
    x = 215,588.41

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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.