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Finding the Fourth Proportional to 278,278.88, 384,025.05 and 150,954.98

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Solution

The fourth proportional to 278,278.88, 384,025.05 and 150,954.98 is: 208,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,278.88 : 384,025.05 = 150,954.98 : x
  2. Step 2: Convert to fraction form
    278,278.88/384,025.05 = 150,954.98/x
  3. Step 3: Cross multiply
    278,278.88x = 384,025.05 × 150,954.98
  4. Step 4: Simplify right side
    278,278.88x = 57,970,491,822.12
  5. Step 5: Solve for x
    x = 57,970,491,822.12/278,278.88
  6. Step 6: Final answer
    x = 208,317.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.