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Finding the Fourth Proportional to 565,489.50, 780,377.13 and 323,775.78

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Solution

The fourth proportional to 565,489.50, 780,377.13 and 323,775.78 is: 446,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,489.50 : 780,377.13 = 323,775.78 : x
  2. Step 2: Convert to fraction form
    565,489.50/780,377.13 = 323,775.78/x
  3. Step 3: Cross multiply
    565,489.50x = 780,377.13 × 323,775.78
  4. Step 4: Simplify right side
    565,489.50x = 252,667,213,959.91
  5. Step 5: Solve for x
    x = 252,667,213,959.91/565,489.50
  6. Step 6: Final answer
    x = 446,811.50

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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.