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Finding the Fourth Proportional to 567,382.24, 782,978.16 and 312,757.12

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Solution

The fourth proportional to 567,382.24, 782,978.16 and 312,757.12 is: 431,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,382.24 : 782,978.16 = 312,757.12 : x
  2. Step 2: Convert to fraction form
    567,382.24/782,978.16 = 312,757.12/x
  3. Step 3: Cross multiply
    567,382.24x = 782,978.16 × 312,757.12
  4. Step 4: Simplify right side
    567,382.24x = 244,881,994,344.50
  5. Step 5: Solve for x
    x = 244,881,994,344.50/567,382.24
  6. Step 6: Final answer
    x = 431,599.68

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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.