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Finding the Fourth Proportional to 422,805.21, 583,466.74 and 231,818.13

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Solution

The fourth proportional to 422,805.21, 583,466.74 and 231,818.13 is: 319,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,805.21 : 583,466.74 = 231,818.13 : x
  2. Step 2: Convert to fraction form
    422,805.21/583,466.74 = 231,818.13/x
  3. Step 3: Cross multiply
    422,805.21x = 583,466.74 × 231,818.13
  4. Step 4: Simplify right side
    422,805.21x = 135,258,168,584.00
  5. Step 5: Solve for x
    x = 135,258,168,584.00/422,805.21
  6. Step 6: Final answer
    x = 319,906.58

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1.5x scale

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.