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Finding the Fourth Proportional to 421,924.90, 582,251.43 and 228,328.12

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Solution

The fourth proportional to 421,924.90, 582,251.43 and 228,328.12 is: 315,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,924.90 : 582,251.43 = 228,328.12 : x
  2. Step 2: Convert to fraction form
    421,924.90/582,251.43 = 228,328.12/x
  3. Step 3: Cross multiply
    421,924.90x = 582,251.43 × 228,328.12
  4. Step 4: Simplify right side
    421,924.90x = 132,944,374,379.21
  5. Step 5: Solve for x
    x = 132,944,374,379.21/421,924.90
  6. Step 6: Final answer
    x = 315,090.14

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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.