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Finding the Fourth Proportional to 296,358.37, 408,702.85 and 198,070

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Solution

The fourth proportional to 296,358.37, 408,702.85 and 198,070 is: 273,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,358.37 : 408,702.85 = 198,070 : x
  2. Step 2: Convert to fraction form
    296,358.37/408,702.85 = 198,070/x
  3. Step 3: Cross multiply
    296,358.37x = 408,702.85 × 198,070
  4. Step 4: Simplify right side
    296,358.37x = 80,951,773,499.50
  5. Step 5: Solve for x
    x = 80,951,773,499.50/296,358.37
  6. Step 6: Final answer
    x = 273,155.01

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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.