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Finding the Fourth Proportional to 312,101.20, 468,151.80 and 192,253.60

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Solution

The fourth proportional to 312,101.20, 468,151.80 and 192,253.60 is: 288,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101.20 : 468,151.80 = 192,253.60 : x
  2. Step 2: Convert to fraction form
    312,101.20/468,151.80 = 192,253.60/x
  3. Step 3: Cross multiply
    312,101.20x = 468,151.80 × 192,253.60
  4. Step 4: Simplify right side
    312,101.20x = 90,003,868,896.48
  5. Step 5: Solve for x
    x = 90,003,868,896.48/312,101.20
  6. Step 6: Final answer
    x = 288,380.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.