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Finding the Fourth Proportional to 278,883.66, 384,811.92 and 157,999.98

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Solution

The fourth proportional to 278,883.66, 384,811.92 and 157,999.98 is: 218,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,883.66 : 384,811.92 = 157,999.98 : x
  2. Step 2: Convert to fraction form
    278,883.66/384,811.92 = 157,999.98/x
  3. Step 3: Cross multiply
    278,883.66x = 384,811.92 × 157,999.98
  4. Step 4: Simplify right side
    278,883.66x = 60,800,275,663.76
  5. Step 5: Solve for x
    x = 60,800,275,663.76/278,883.66
  6. Step 6: Final answer
    x = 218,013.04

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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.