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Finding the Fourth Proportional to 517,949.12, 714,758.52 and 288,505.52

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Solution

The fourth proportional to 517,949.12, 714,758.52 and 288,505.52 is: 398,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,949.12 : 714,758.52 = 288,505.52 : x
  2. Step 2: Convert to fraction form
    517,949.12/714,758.52 = 288,505.52/x
  3. Step 3: Cross multiply
    517,949.12x = 714,758.52 × 288,505.52
  4. Step 4: Simplify right side
    517,949.12x = 206,211,778,487.03
  5. Step 5: Solve for x
    x = 206,211,778,487.03/517,949.12
  6. Step 6: Final answer
    x = 398,131.34

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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.