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Finding the Fourth Proportional to 278,471.22, 384,290.72 and 151,146.87

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Solution

The fourth proportional to 278,471.22, 384,290.72 and 151,146.87 is: 208,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,471.22 : 384,290.72 = 151,146.87 : x
  2. Step 2: Convert to fraction form
    278,471.22/384,290.72 = 151,146.87/x
  3. Step 3: Cross multiply
    278,471.22x = 384,290.72 × 151,146.87
  4. Step 4: Simplify right side
    278,471.22x = 58,084,339,498.05
  5. Step 5: Solve for x
    x = 58,084,339,498.05/278,471.22
  6. Step 6: Final answer
    x = 208,582.92

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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.