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Finding the Fourth Proportional to 315,418.31, 435,268.89 and 290,027.24

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Solution

The fourth proportional to 315,418.31, 435,268.89 and 290,027.24 is: 400,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,418.31 : 435,268.89 = 290,027.24 : x
  2. Step 2: Convert to fraction form
    315,418.31/435,268.89 = 290,027.24/x
  3. Step 3: Cross multiply
    315,418.31x = 435,268.89 × 290,027.24
  4. Step 4: Simplify right side
    315,418.31x = 126,239,832,648.22
  5. Step 5: Solve for x
    x = 126,239,832,648.22/315,418.31
  6. Step 6: Final answer
    x = 400,229.89

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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.