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Finding the Fourth Proportional to 517,479.20, 714,102.72 and 288,028.88

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Solution

The fourth proportional to 517,479.20, 714,102.72 and 288,028.88 is: 397,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,479.20 : 714,102.72 = 288,028.88 : x
  2. Step 2: Convert to fraction form
    517,479.20/714,102.72 = 288,028.88/x
  3. Step 3: Cross multiply
    517,479.20x = 714,102.72 × 288,028.88
  4. Step 4: Simplify right side
    517,479.20x = 205,682,206,646.55
  5. Step 5: Solve for x
    x = 205,682,206,646.55/517,479.20
  6. Step 6: Final answer
    x = 397,469.51

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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.