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Finding the Fourth Proportional to 417,131.20, 625,696.80 and 259,278.40

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Solution

The fourth proportional to 417,131.20, 625,696.80 and 259,278.40 is: 388,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,131.20 : 625,696.80 = 259,278.40 : x
  2. Step 2: Convert to fraction form
    417,131.20/625,696.80 = 259,278.40/x
  3. Step 3: Cross multiply
    417,131.20x = 625,696.80 × 259,278.40
  4. Step 4: Simplify right side
    417,131.20x = 162,229,665,189.12
  5. Step 5: Solve for x
    x = 162,229,665,189.12/417,131.20
  6. Step 6: Final answer
    x = 388,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.