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Finding the Fourth Proportional to 233,430.78, 321,456.51 and 202,789.89

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Solution

The fourth proportional to 233,430.78, 321,456.51 and 202,789.89 is: 279,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,430.78 : 321,456.51 = 202,789.89 : x
  2. Step 2: Convert to fraction form
    233,430.78/321,456.51 = 202,789.89/x
  3. Step 3: Cross multiply
    233,430.78x = 321,456.51 × 202,789.89
  4. Step 4: Simplify right side
    233,430.78x = 65,188,130,302.68
  5. Step 5: Solve for x
    x = 65,188,130,302.68/233,430.78
  6. Step 6: Final answer
    x = 279,261.07

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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.