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Finding the Fourth Proportional to 422,288.98, 582,751.58 and 228,695.12

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Solution

The fourth proportional to 422,288.98, 582,751.58 and 228,695.12 is: 315,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,288.98 : 582,751.58 = 228,695.12 : x
  2. Step 2: Convert to fraction form
    422,288.98/582,751.58 = 228,695.12/x
  3. Step 3: Cross multiply
    422,288.98x = 582,751.58 × 228,695.12
  4. Step 4: Simplify right side
    422,288.98x = 133,272,442,518.29
  5. Step 5: Solve for x
    x = 133,272,442,518.29/422,288.98
  6. Step 6: Final answer
    x = 315,595.36

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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.