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Finding the Fourth Proportional to 565,938, 781,105.36 and 324,382.48

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Solution

The fourth proportional to 565,938, 781,105.36 and 324,382.48 is: 447,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,938 : 781,105.36 = 324,382.48 : x
  2. Step 2: Convert to fraction form
    565,938/781,105.36 = 324,382.48/x
  3. Step 3: Cross multiply
    565,938x = 781,105.36 × 324,382.48
  4. Step 4: Simplify right side
    565,938x = 253,376,893,818.09
  5. Step 5: Solve for x
    x = 253,376,893,818.09/565,938
  6. Step 6: Final answer
    x = 447,711.40

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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.