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Finding the Fourth Proportional to 278,154.36, 417,047.22 and 100,638

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Solution

The fourth proportional to 278,154.36, 417,047.22 and 100,638 is: 150,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154.36 : 417,047.22 = 100,638 : x
  2. Step 2: Convert to fraction form
    278,154.36/417,047.22 = 100,638/x
  3. Step 3: Cross multiply
    278,154.36x = 417,047.22 × 100,638
  4. Step 4: Simplify right side
    278,154.36x = 41,970,798,126.36
  5. Step 5: Solve for x
    x = 41,970,798,126.36/278,154.36
  6. Step 6: Final answer
    x = 150,890.31

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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.