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Finding the Fourth Proportional to 567,264.60, 782,825.16 and 312,615.78

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Solution

The fourth proportional to 567,264.60, 782,825.16 and 312,615.78 is: 431,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,264.60 : 782,825.16 = 312,615.78 : x
  2. Step 2: Convert to fraction form
    567,264.60/782,825.16 = 312,615.78/x
  3. Step 3: Cross multiply
    567,264.60x = 782,825.16 × 312,615.78
  4. Step 4: Simplify right side
    567,264.60x = 244,723,499,760.31
  5. Step 5: Solve for x
    x = 244,723,499,760.31/567,264.60
  6. Step 6: Final answer
    x = 431,409.79

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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.