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Finding the Fourth Proportional to 424,135.78, 585,292.50 and 233,147.80

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Solution

The fourth proportional to 424,135.78, 585,292.50 and 233,147.80 is: 321,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,135.78 : 585,292.50 = 233,147.80 : x
  2. Step 2: Convert to fraction form
    424,135.78/585,292.50 = 233,147.80/x
  3. Step 3: Cross multiply
    424,135.78x = 585,292.50 × 233,147.80
  4. Step 4: Simplify right side
    424,135.78x = 136,459,659,463.12
  5. Step 5: Solve for x
    x = 136,459,659,463.12/424,135.78
  6. Step 6: Final answer
    x = 321,735.79

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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.