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Finding the Fourth Proportional to 278,173.49, 383,881.82 and 150,849.09

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Solution

The fourth proportional to 278,173.49, 383,881.82 and 150,849.09 is: 208,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,173.49 : 383,881.82 = 150,849.09 : x
  2. Step 2: Convert to fraction form
    278,173.49/383,881.82 = 150,849.09/x
  3. Step 3: Cross multiply
    278,173.49x = 383,881.82 × 150,849.09
  4. Step 4: Simplify right side
    278,173.49x = 57,908,222,460.30
  5. Step 5: Solve for x
    x = 57,908,222,460.30/278,173.49
  6. Step 6: Final answer
    x = 208,173.05

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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.