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Finding the Fourth Proportional to 567,080.78, 782,571 and 312,431.96

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Solution

The fourth proportional to 567,080.78, 782,571 and 312,431.96 is: 431,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,080.78 : 782,571 = 312,431.96 : x
  2. Step 2: Convert to fraction form
    567,080.78/782,571 = 312,431.96/x
  3. Step 3: Cross multiply
    567,080.78x = 782,571 × 312,431.96
  4. Step 4: Simplify right side
    567,080.78x = 244,500,191,369.16
  5. Step 5: Solve for x
    x = 244,500,191,369.16/567,080.78
  6. Step 6: Final answer
    x = 431,155.84

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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.