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Finding the Fourth Proportional to 421,712.20, 581,964.24 and 230,725

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Solution

The fourth proportional to 421,712.20, 581,964.24 and 230,725 is: 318,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,712.20 : 581,964.24 = 230,725 : x
  2. Step 2: Convert to fraction form
    421,712.20/581,964.24 = 230,725/x
  3. Step 3: Cross multiply
    421,712.20x = 581,964.24 × 230,725
  4. Step 4: Simplify right side
    421,712.20x = 134,273,699,274
  5. Step 5: Solve for x
    x = 134,273,699,274/421,712.20
  6. Step 6: Final answer
    x = 318,401.27

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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.