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Finding the Fourth Proportional to 501,891.91, 752,838.35 and 412,958.47

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Solution

The fourth proportional to 501,891.91, 752,838.35 and 412,958.47 is: 619,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,891.91 : 752,838.35 = 412,958.47 : x
  2. Step 2: Convert to fraction form
    501,891.91/752,838.35 = 412,958.47/x
  3. Step 3: Cross multiply
    501,891.91x = 752,838.35 × 412,958.47
  4. Step 4: Simplify right side
    501,891.91x = 310,890,969,226.44
  5. Step 5: Solve for x
    x = 310,890,969,226.44/501,891.91
  6. Step 6: Final answer
    x = 619,438.10

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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.