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Finding the Fourth Proportional to 565,917.76, 780,951.18 and 320,947.48

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Solution

The fourth proportional to 565,917.76, 780,951.18 and 320,947.48 is: 442,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,917.76 : 780,951.18 = 320,947.48 : x
  2. Step 2: Convert to fraction form
    565,917.76/780,951.18 = 320,947.48/x
  3. Step 3: Cross multiply
    565,917.76x = 780,951.18 × 320,947.48
  4. Step 4: Simplify right side
    565,917.76x = 250,644,313,224.03
  5. Step 5: Solve for x
    x = 250,644,313,224.03/565,917.76
  6. Step 6: Final answer
    x = 442,898.83

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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.