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Finding the Fourth Proportional to 516,558.41, 712,816.01 and 287,100.80

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Solution

The fourth proportional to 516,558.41, 712,816.01 and 287,100.80 is: 396,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,558.41 : 712,816.01 = 287,100.80 : x
  2. Step 2: Convert to fraction form
    516,558.41/712,816.01 = 287,100.80/x
  3. Step 3: Cross multiply
    516,558.41x = 712,816.01 × 287,100.80
  4. Step 4: Simplify right side
    516,558.41x = 204,650,041,724.22
  5. Step 5: Solve for x
    x = 204,650,041,724.22/516,558.41
  6. Step 6: Final answer
    x = 396,179.87

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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.