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Finding the Fourth Proportional to 290,067.83, 400,287.39 and 160,998.77

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Solution

The fourth proportional to 290,067.83, 400,287.39 and 160,998.77 is: 222,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,067.83 : 400,287.39 = 160,998.77 : x
  2. Step 2: Convert to fraction form
    290,067.83/400,287.39 = 160,998.77/x
  3. Step 3: Cross multiply
    290,067.83x = 400,287.39 × 160,998.77
  4. Step 4: Simplify right side
    290,067.83x = 64,445,779,191.91
  5. Step 5: Solve for x
    x = 64,445,779,191.91/290,067.83
  6. Step 6: Final answer
    x = 222,174.86

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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.