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Finding the Fourth Proportional to 565,978.08, 781,160.64 and 324,422.56

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Solution

The fourth proportional to 565,978.08, 781,160.64 and 324,422.56 is: 447,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,978.08 : 781,160.64 = 324,422.56 : x
  2. Step 2: Convert to fraction form
    565,978.08/781,160.64 = 324,422.56/x
  3. Step 3: Cross multiply
    565,978.08x = 781,160.64 × 324,422.56
  4. Step 4: Simplify right side
    565,978.08x = 253,426,134,600.04
  5. Step 5: Solve for x
    x = 253,426,134,600.04/565,978.08
  6. Step 6: Final answer
    x = 447,766.70

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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.