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Finding the Fourth Proportional to 517,961.88, 714,776.49 and 288,518.58

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Solution

The fourth proportional to 517,961.88, 714,776.49 and 288,518.58 is: 398,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,961.88 : 714,776.49 = 288,518.58 : x
  2. Step 2: Convert to fraction form
    517,961.88/714,776.49 = 288,518.58/x
  3. Step 3: Cross multiply
    517,961.88x = 714,776.49 × 288,518.58
  4. Step 4: Simplify right side
    517,961.88x = 206,226,297,912.18
  5. Step 5: Solve for x
    x = 206,226,297,912.18/517,961.88
  6. Step 6: Final answer
    x = 398,149.57

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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.