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Finding the Fourth Proportional to 422,095.39, 582,487.21 and 228,498.76

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Solution

The fourth proportional to 422,095.39, 582,487.21 and 228,498.76 is: 315,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,095.39 : 582,487.21 = 228,498.76 : x
  2. Step 2: Convert to fraction form
    422,095.39/582,487.21 = 228,498.76/x
  3. Step 3: Cross multiply
    422,095.39x = 582,487.21 × 228,498.76
  4. Step 4: Simplify right side
    422,095.39x = 133,097,605,200.86
  5. Step 5: Solve for x
    x = 133,097,605,200.86/422,095.39
  6. Step 6: Final answer
    x = 315,325.89

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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.