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Finding the Fourth Proportional to 422,825, 583,445.02 and 231,788.12

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Solution

The fourth proportional to 422,825, 583,445.02 and 231,788.12 is: 319,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,825 : 583,445.02 = 231,788.12 : x
  2. Step 2: Convert to fraction form
    422,825/583,445.02 = 231,788.12/x
  3. Step 3: Cross multiply
    422,825x = 583,445.02 × 231,788.12
  4. Step 4: Simplify right side
    422,825x = 135,235,624,309.16
  5. Step 5: Solve for x
    x = 135,235,624,309.16/422,825
  6. Step 6: Final answer
    x = 319,838.29

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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.