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Finding the Fourth Proportional to 516,776.25, 712,990.94 and 301,761.21

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Solution

The fourth proportional to 516,776.25, 712,990.94 and 301,761.21 is: 416,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,776.25 : 712,990.94 = 301,761.21 : x
  2. Step 2: Convert to fraction form
    516,776.25/712,990.94 = 301,761.21/x
  3. Step 3: Cross multiply
    516,776.25x = 712,990.94 × 301,761.21
  4. Step 4: Simplify right side
    516,776.25x = 215,153,008,773.44
  5. Step 5: Solve for x
    x = 215,153,008,773.44/516,776.25
  6. Step 6: Final answer
    x = 416,336.87

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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.