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Finding the Fourth Proportional to 311,314.80, 466,972.20 and 283,758.60

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Solution

The fourth proportional to 311,314.80, 466,972.20 and 283,758.60 is: 425,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,314.80 : 466,972.20 = 283,758.60 : x
  2. Step 2: Convert to fraction form
    311,314.80/466,972.20 = 283,758.60/x
  3. Step 3: Cross multiply
    311,314.80x = 466,972.20 × 283,758.60
  4. Step 4: Simplify right side
    311,314.80x = 132,507,377,710.92
  5. Step 5: Solve for x
    x = 132,507,377,710.92/311,314.80
  6. Step 6: Final answer
    x = 425,637.90

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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.