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Finding the Fourth Proportional to 277,625.33, 383,130.82 and 156,784.78

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Solution

The fourth proportional to 277,625.33, 383,130.82 and 156,784.78 is: 216,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,625.33 : 383,130.82 = 156,784.78 : x
  2. Step 2: Convert to fraction form
    277,625.33/383,130.82 = 156,784.78/x
  3. Step 3: Cross multiply
    277,625.33x = 383,130.82 × 156,784.78
  4. Step 4: Simplify right side
    277,625.33x = 60,069,081,324.92
  5. Step 5: Solve for x
    x = 60,069,081,324.92/277,625.33
  6. Step 6: Final answer
    x = 216,367.44

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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.