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Finding the Fourth Proportional to 429,540.72, 644,310.27 and 239,968.32

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Solution

The fourth proportional to 429,540.72, 644,310.27 and 239,968.32 is: 359,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,540.72 : 644,310.27 = 239,968.32 : x
  2. Step 2: Convert to fraction form
    429,540.72/644,310.27 = 239,968.32/x
  3. Step 3: Cross multiply
    429,540.72x = 644,310.27 × 239,968.32
  4. Step 4: Simplify right side
    429,540.72x = 154,614,053,050.65
  5. Step 5: Solve for x
    x = 154,614,053,050.65/429,540.72
  6. Step 6: Final answer
    x = 359,952.03

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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.