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Finding the Fourth Proportional to 781,249.41, 1,171,967.87 and 275,706

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Solution

The fourth proportional to 781,249.41, 1,171,967.87 and 275,706 is: 413,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,249.41 : 1,171,967.87 = 275,706 : x
  2. Step 2: Convert to fraction form
    781,249.41/1,171,967.87 = 275,706/x
  3. Step 3: Cross multiply
    781,249.41x = 1,171,967.87 × 275,706
  4. Step 4: Simplify right side
    781,249.41x = 323,118,574,255.49
  5. Step 5: Solve for x
    x = 323,118,574,255.49/781,249.41
  6. Step 6: Final answer
    x = 413,592.09

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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.