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Finding the Fourth Proportional to 421,469.44, 581,672.91 and 258,234.28

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Solution

The fourth proportional to 421,469.44, 581,672.91 and 258,234.28 is: 356,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,469.44 : 581,672.91 = 258,234.28 : x
  2. Step 2: Convert to fraction form
    421,469.44/581,672.91 = 258,234.28/x
  3. Step 3: Cross multiply
    421,469.44x = 581,672.91 × 258,234.28
  4. Step 4: Simplify right side
    421,469.44x = 150,207,884,463.77
  5. Step 5: Solve for x
    x = 150,207,884,463.77/421,469.44
  6. Step 6: Final answer
    x = 356,390.92

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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.