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Finding the Fourth Proportional to 277,118.71, 382,391.32 and 156,252.80

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Solution

The fourth proportional to 277,118.71, 382,391.32 and 156,252.80 is: 215,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,118.71 : 382,391.32 = 156,252.80 : x
  2. Step 2: Convert to fraction form
    277,118.71/382,391.32 = 156,252.80/x
  3. Step 3: Cross multiply
    277,118.71x = 382,391.32 × 156,252.80
  4. Step 4: Simplify right side
    277,118.71x = 59,749,714,445.70
  5. Step 5: Solve for x
    x = 59,749,714,445.70/277,118.71
  6. Step 6: Final answer
    x = 215,610.54

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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.