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Finding the Fourth Proportional to 421,474.82, 581,635.23 and 230,488.34

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Solution

The fourth proportional to 421,474.82, 581,635.23 and 230,488.34 is: 318,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,474.82 : 581,635.23 = 230,488.34 : x
  2. Step 2: Convert to fraction form
    421,474.82/581,635.23 = 230,488.34/x
  3. Step 3: Cross multiply
    421,474.82x = 581,635.23 × 230,488.34
  4. Step 4: Simplify right side
    421,474.82x = 134,060,138,648.22
  5. Step 5: Solve for x
    x = 134,060,138,648.22/421,474.82
  6. Step 6: Final answer
    x = 318,073.90

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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.