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Finding the Fourth Proportional to 422,483.40, 583,023.15 and 228,886.65

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Solution

The fourth proportional to 422,483.40, 583,023.15 and 228,886.65 is: 315,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,483.40 : 583,023.15 = 228,886.65 : x
  2. Step 2: Convert to fraction form
    422,483.40/583,023.15 = 228,886.65/x
  3. Step 3: Cross multiply
    422,483.40x = 583,023.15 × 228,886.65
  4. Step 4: Simplify right side
    422,483.40x = 133,446,215,675.95
  5. Step 5: Solve for x
    x = 133,446,215,675.95/422,483.40
  6. Step 6: Final answer
    x = 315,861.44

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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.