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Finding the Fourth Proportional to 277,829.78, 383,404.75 and 150,505.90

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Solution

The fourth proportional to 277,829.78, 383,404.75 and 150,505.90 is: 207,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,829.78 : 383,404.75 = 150,505.90 : x
  2. Step 2: Convert to fraction form
    277,829.78/383,404.75 = 150,505.90/x
  3. Step 3: Cross multiply
    277,829.78x = 383,404.75 × 150,505.90
  4. Step 4: Simplify right side
    277,829.78x = 57,704,676,963.03
  5. Step 5: Solve for x
    x = 57,704,676,963.03/277,829.78
  6. Step 6: Final answer
    x = 207,697.95

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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.