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Finding the Fourth Proportional to 465,006.70, 641,687.37 and 258,288.49

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Solution

The fourth proportional to 465,006.70, 641,687.37 and 258,288.49 is: 356,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,006.70 : 641,687.37 = 258,288.49 : x
  2. Step 2: Convert to fraction form
    465,006.70/641,687.37 = 258,288.49/x
  3. Step 3: Cross multiply
    465,006.70x = 641,687.37 × 258,288.49
  4. Step 4: Simplify right side
    465,006.70x = 165,740,461,849.37
  5. Step 5: Solve for x
    x = 165,740,461,849.37/465,006.70
  6. Step 6: Final answer
    x = 356,425.97

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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.