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Finding the Fourth Proportional to 422,690.40, 583,308 and 231,703.20

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Solution

The fourth proportional to 422,690.40, 583,308 and 231,703.20 is: 319,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,690.40 : 583,308 = 231,703.20 : x
  2. Step 2: Convert to fraction form
    422,690.40/583,308 = 231,703.20/x
  3. Step 3: Cross multiply
    422,690.40x = 583,308 × 231,703.20
  4. Step 4: Simplify right side
    422,690.40x = 135,154,330,185.60
  5. Step 5: Solve for x
    x = 135,154,330,185.60/422,690.40
  6. Step 6: Final answer
    x = 319,747.81

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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.