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Finding the Fourth Proportional to 428,231.73, 590,984.54 and 234,639.80

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Solution

The fourth proportional to 428,231.73, 590,984.54 and 234,639.80 is: 323,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,231.73 : 590,984.54 = 234,639.80 : x
  2. Step 2: Convert to fraction form
    428,231.73/590,984.54 = 234,639.80/x
  3. Step 3: Cross multiply
    428,231.73x = 590,984.54 × 234,639.80
  4. Step 4: Simplify right side
    428,231.73x = 138,668,494,268.69
  5. Step 5: Solve for x
    x = 138,668,494,268.69/428,231.73
  6. Step 6: Final answer
    x = 323,816.49

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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.