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Finding the Fourth Proportional to 278,064.72, 383,735.28 and 157,198.80

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Solution

The fourth proportional to 278,064.72, 383,735.28 and 157,198.80 is: 216,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,064.72 : 383,735.28 = 157,198.80 : x
  2. Step 2: Convert to fraction form
    278,064.72/383,735.28 = 157,198.80/x
  3. Step 3: Cross multiply
    278,064.72x = 383,735.28 × 157,198.80
  4. Step 4: Simplify right side
    278,064.72x = 60,322,725,533.66
  5. Step 5: Solve for x
    x = 60,322,725,533.66/278,064.72
  6. Step 6: Final answer
    x = 216,937.72

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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.