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Finding the Fourth Proportional to 567,219.66, 782,797.95 and 312,570.78

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Solution

The fourth proportional to 567,219.66, 782,797.95 and 312,570.78 is: 431,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,219.66 : 782,797.95 = 312,570.78 : x
  2. Step 2: Convert to fraction form
    567,219.66/782,797.95 = 312,570.78/x
  3. Step 3: Cross multiply
    567,219.66x = 782,797.95 × 312,570.78
  4. Step 4: Simplify right side
    567,219.66x = 244,679,765,813.90
  5. Step 5: Solve for x
    x = 244,679,765,813.90/567,219.66
  6. Step 6: Final answer
    x = 431,366.86

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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.