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Finding the Fourth Proportional to 312,057.40, 468,086.10 and 264,818.20

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Solution

The fourth proportional to 312,057.40, 468,086.10 and 264,818.20 is: 397,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,057.40 : 468,086.10 = 264,818.20 : x
  2. Step 2: Convert to fraction form
    312,057.40/468,086.10 = 264,818.20/x
  3. Step 3: Cross multiply
    312,057.40x = 468,086.10 × 264,818.20
  4. Step 4: Simplify right side
    312,057.40x = 123,957,718,447.02
  5. Step 5: Solve for x
    x = 123,957,718,447.02/312,057.40
  6. Step 6: Final answer
    x = 397,227.30

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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.