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Finding the Fourth Proportional to 278,175.77, 383,889.88 and 157,334.91

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Solution

The fourth proportional to 278,175.77, 383,889.88 and 157,334.91 is: 217,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,175.77 : 383,889.88 = 157,334.91 : x
  2. Step 2: Convert to fraction form
    278,175.77/383,889.88 = 157,334.91/x
  3. Step 3: Cross multiply
    278,175.77x = 383,889.88 × 157,334.91
  4. Step 4: Simplify right side
    278,175.77x = 60,399,278,476.79
  5. Step 5: Solve for x
    x = 60,399,278,476.79/278,175.77
  6. Step 6: Final answer
    x = 217,126.31

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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.