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Finding the Fourth Proportional to 417,701.88, 625,763.70 and 323,747.64

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Solution

The fourth proportional to 417,701.88, 625,763.70 and 323,747.64 is: 485,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.88 : 625,763.70 = 323,747.64 : x
  2. Step 2: Convert to fraction form
    417,701.88/625,763.70 = 323,747.64/x
  3. Step 3: Cross multiply
    417,701.88x = 625,763.70 × 323,747.64
  4. Step 4: Simplify right side
    417,701.88x = 202,589,521,072.67
  5. Step 5: Solve for x
    x = 202,589,521,072.67/417,701.88
  6. Step 6: Final answer
    x = 485,009.84

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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.