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Finding the Fourth Proportional to 417,540.30, 626,310.45 and 181,344.30

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Solution

The fourth proportional to 417,540.30, 626,310.45 and 181,344.30 is: 272,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,540.30 : 626,310.45 = 181,344.30 : x
  2. Step 2: Convert to fraction form
    417,540.30/626,310.45 = 181,344.30/x
  3. Step 3: Cross multiply
    417,540.30x = 626,310.45 × 181,344.30
  4. Step 4: Simplify right side
    417,540.30x = 113,577,830,137.94
  5. Step 5: Solve for x
    x = 113,577,830,137.94/417,540.30
  6. Step 6: Final answer
    x = 272,016.45

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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.