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Finding the Fourth Proportional to 208,790.16, 287,657.52 and 198,836.88

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Solution

The fourth proportional to 208,790.16, 287,657.52 and 198,836.88 is: 273,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,790.16 : 287,657.52 = 198,836.88 : x
  2. Step 2: Convert to fraction form
    208,790.16/287,657.52 = 198,836.88/x
  3. Step 3: Cross multiply
    208,790.16x = 287,657.52 × 198,836.88
  4. Step 4: Simplify right side
    208,790.16x = 57,196,923,785.34
  5. Step 5: Solve for x
    x = 57,196,923,785.34/208,790.16
  6. Step 6: Final answer
    x = 273,944.54

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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.