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Finding the Fourth Proportional to 278,761.54, 384,678.60 and 157,900.40

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Solution

The fourth proportional to 278,761.54, 384,678.60 and 157,900.40 is: 217,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,761.54 : 384,678.60 = 157,900.40 : x
  2. Step 2: Convert to fraction form
    278,761.54/384,678.60 = 157,900.40/x
  3. Step 3: Cross multiply
    278,761.54x = 384,678.60 × 157,900.40
  4. Step 4: Simplify right side
    278,761.54x = 60,740,904,811.44
  5. Step 5: Solve for x
    x = 60,740,904,811.44/278,761.54
  6. Step 6: Final answer
    x = 217,895.57

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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.