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Finding the Fourth Proportional to 311,425.80, 467,138.70 and 305,520.90

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Solution

The fourth proportional to 311,425.80, 467,138.70 and 305,520.90 is: 458,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,425.80 : 467,138.70 = 305,520.90 : x
  2. Step 2: Convert to fraction form
    311,425.80/467,138.70 = 305,520.90/x
  3. Step 3: Cross multiply
    311,425.80x = 467,138.70 × 305,520.90
  4. Step 4: Simplify right side
    311,425.80x = 142,720,636,048.83
  5. Step 5: Solve for x
    x = 142,720,636,048.83/311,425.80
  6. Step 6: Final answer
    x = 458,281.35

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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.