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Finding the Fourth Proportional to 421,777.16, 582,052.46 and 230,790.56

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Solution

The fourth proportional to 421,777.16, 582,052.46 and 230,790.56 is: 318,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,777.16 : 582,052.46 = 230,790.56 : x
  2. Step 2: Convert to fraction form
    421,777.16/582,052.46 = 230,790.56/x
  3. Step 3: Cross multiply
    421,777.16x = 582,052.46 × 230,790.56
  4. Step 4: Simplify right side
    421,777.16x = 134,332,213,192.78
  5. Step 5: Solve for x
    x = 134,332,213,192.78/421,777.16
  6. Step 6: Final answer
    x = 318,490.96

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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.