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Finding the Fourth Proportional to 421,911.48, 582,233.36 and 228,314.92

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Solution

The fourth proportional to 421,911.48, 582,233.36 and 228,314.92 is: 315,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,911.48 : 582,233.36 = 228,314.92 : x
  2. Step 2: Convert to fraction form
    421,911.48/582,233.36 = 228,314.92/x
  3. Step 3: Cross multiply
    421,911.48x = 582,233.36 × 228,314.92
  4. Step 4: Simplify right side
    421,911.48x = 132,932,563,009.73
  5. Step 5: Solve for x
    x = 132,932,563,009.73/421,911.48
  6. Step 6: Final answer
    x = 315,072.16

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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.