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Finding the Fourth Proportional to 422,968.58, 583,713.01 and 231,990.02

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Solution

The fourth proportional to 422,968.58, 583,713.01 and 231,990.02 is: 320,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,968.58 : 583,713.01 = 231,990.02 : x
  2. Step 2: Convert to fraction form
    422,968.58/583,713.01 = 231,990.02/x
  3. Step 3: Cross multiply
    422,968.58x = 583,713.01 × 231,990.02
  4. Step 4: Simplify right side
    422,968.58x = 135,415,592,864.16
  5. Step 5: Solve for x
    x = 135,415,592,864.16/422,968.58
  6. Step 6: Final answer
    x = 320,155.21

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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.