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Finding the Fourth Proportional to 312,713.50, 431,590.95 and 198,002.81

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Solution

The fourth proportional to 312,713.50, 431,590.95 and 198,002.81 is: 273,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,713.50 : 431,590.95 = 198,002.81 : x
  2. Step 2: Convert to fraction form
    312,713.50/431,590.95 = 198,002.81/x
  3. Step 3: Cross multiply
    312,713.50x = 431,590.95 × 198,002.81
  4. Step 4: Simplify right side
    312,713.50x = 85,456,220,870.57
  5. Step 5: Solve for x
    x = 85,456,220,870.57/312,713.50
  6. Step 6: Final answer
    x = 273,273.21

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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.