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Finding the Fourth Proportional to 278,832.81, 384,788.49 and 151,508.37

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Solution

The fourth proportional to 278,832.81, 384,788.49 and 151,508.37 is: 209,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,832.81 : 384,788.49 = 151,508.37 : x
  2. Step 2: Convert to fraction form
    278,832.81/384,788.49 = 151,508.37/x
  3. Step 3: Cross multiply
    278,832.81x = 384,788.49 × 151,508.37
  4. Step 4: Simplify right side
    278,832.81x = 58,298,678,641.70
  5. Step 5: Solve for x
    x = 58,298,678,641.70/278,832.81
  6. Step 6: Final answer
    x = 209,081.13

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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.