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Finding the Fourth Proportional to 342,320.40, 512,098.20 and 296,086.80

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Solution

The fourth proportional to 342,320.40, 512,098.20 and 296,086.80 is: 442,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,320.40 : 512,098.20 = 296,086.80 : x
  2. Step 2: Convert to fraction form
    342,320.40/512,098.20 = 296,086.80/x
  3. Step 3: Cross multiply
    342,320.40x = 512,098.20 × 296,086.80
  4. Step 4: Simplify right side
    342,320.40x = 151,625,517,323.76
  5. Step 5: Solve for x
    x = 151,625,517,323.76/342,320.40
  6. Step 6: Final answer
    x = 442,934.51

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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.