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Finding the Fourth Proportional to 421,930.74, 582,265.06 and 230,956.22

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Solution

The fourth proportional to 421,930.74, 582,265.06 and 230,956.22 is: 318,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,930.74 : 582,265.06 = 230,956.22 : x
  2. Step 2: Convert to fraction form
    421,930.74/582,265.06 = 230,956.22/x
  3. Step 3: Cross multiply
    421,930.74x = 582,265.06 × 230,956.22
  4. Step 4: Simplify right side
    421,930.74x = 134,477,737,295.67
  5. Step 5: Solve for x
    x = 134,477,737,295.67/421,930.74
  6. Step 6: Final answer
    x = 318,719.93

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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.