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Finding the Fourth Proportional to 567,077.30, 782,601.99 and 312,428.42

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Solution

The fourth proportional to 567,077.30, 782,601.99 and 312,428.42 is: 431,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,077.30 : 782,601.99 = 312,428.42 : x
  2. Step 2: Convert to fraction form
    567,077.30/782,601.99 = 312,428.42/x
  3. Step 3: Cross multiply
    567,077.30x = 782,601.99 × 312,428.42
  4. Step 4: Simplify right side
    567,077.30x = 244,507,103,224.56
  5. Step 5: Solve for x
    x = 244,507,103,224.56/567,077.30
  6. Step 6: Final answer
    x = 431,170.68

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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.