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Finding the Fourth Proportional to 278,104.85, 383,792.25 and 157,264.22

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Solution

The fourth proportional to 278,104.85, 383,792.25 and 157,264.22 is: 217,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.85 : 383,792.25 = 157,264.22 : x
  2. Step 2: Convert to fraction form
    278,104.85/383,792.25 = 157,264.22/x
  3. Step 3: Cross multiply
    278,104.85x = 383,792.25 × 157,264.22
  4. Step 4: Simplify right side
    278,104.85x = 60,356,786,919.33
  5. Step 5: Solve for x
    x = 60,356,786,919.33/278,104.85
  6. Step 6: Final answer
    x = 217,028.89

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1.5x scale

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.