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Finding the Fourth Proportional to 567,380.10, 782,970.69 and 312,725.70

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Solution

The fourth proportional to 567,380.10, 782,970.69 and 312,725.70 is: 431,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,380.10 : 782,970.69 = 312,725.70 : x
  2. Step 2: Convert to fraction form
    567,380.10/782,970.69 = 312,725.70/x
  3. Step 3: Cross multiply
    567,380.10x = 782,970.69 × 312,725.70
  4. Step 4: Simplify right side
    567,380.10x = 244,855,057,109.73
  5. Step 5: Solve for x
    x = 244,855,057,109.73/567,380.10
  6. Step 6: Final answer
    x = 431,553.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.