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Finding the Fourth Proportional to 421,034.61, 581,020.92 and 230,043.90

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Solution

The fourth proportional to 421,034.61, 581,020.92 and 230,043.90 is: 317,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,034.61 : 581,020.92 = 230,043.90 : x
  2. Step 2: Convert to fraction form
    421,034.61/581,020.92 = 230,043.90/x
  3. Step 3: Cross multiply
    421,034.61x = 581,020.92 × 230,043.90
  4. Step 4: Simplify right side
    421,034.61x = 133,660,318,418.39
  5. Step 5: Solve for x
    x = 133,660,318,418.39/421,034.61
  6. Step 6: Final answer
    x = 317,456.84

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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.