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Finding the Fourth Proportional to 278,410.89, 384,207.29 and 151,086.48

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Solution

The fourth proportional to 278,410.89, 384,207.29 and 151,086.48 is: 208,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,410.89 : 384,207.29 = 151,086.48 : x
  2. Step 2: Convert to fraction form
    278,410.89/384,207.29 = 151,086.48/x
  3. Step 3: Cross multiply
    278,410.89x = 384,207.29 × 151,086.48
  4. Step 4: Simplify right side
    278,410.89x = 58,048,526,281.01
  5. Step 5: Solve for x
    x = 58,048,526,281.01/278,410.89
  6. Step 6: Final answer
    x = 208,499.48

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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.