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Finding the Fourth Proportional to 278,227.74, 383,962.97 and 157,366.67

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Solution

The fourth proportional to 278,227.74, 383,962.97 and 157,366.67 is: 217,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,227.74 : 383,962.97 = 157,366.67 : x
  2. Step 2: Convert to fraction form
    278,227.74/383,962.97 = 157,366.67/x
  3. Step 3: Cross multiply
    278,227.74x = 383,962.97 × 157,366.67
  4. Step 4: Simplify right side
    278,227.74x = 60,422,972,465.81
  5. Step 5: Solve for x
    x = 60,422,972,465.81/278,227.74
  6. Step 6: Final answer
    x = 217,170.91

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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.