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Finding the Fourth Proportional to 278,893.86, 384,858.76 and 158,036.59

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Solution

The fourth proportional to 278,893.86, 384,858.76 and 158,036.59 is: 218,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.86 : 384,858.76 = 158,036.59 : x
  2. Step 2: Convert to fraction form
    278,893.86/384,858.76 = 158,036.59/x
  3. Step 3: Cross multiply
    278,893.86x = 384,858.76 × 158,036.59
  4. Step 4: Simplify right side
    278,893.86x = 60,821,766,062.03
  5. Step 5: Solve for x
    x = 60,821,766,062.03/278,893.86
  6. Step 6: Final answer
    x = 218,082.13

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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.