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Finding the Fourth Proportional to 465,004.70, 641,684.61 and 258,286.49

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Solution

The fourth proportional to 465,004.70, 641,684.61 and 258,286.49 is: 356,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,004.70 : 641,684.61 = 258,286.49 : x
  2. Step 2: Convert to fraction form
    465,004.70/641,684.61 = 258,286.49/x
  3. Step 3: Cross multiply
    465,004.70x = 641,684.61 × 258,286.49
  4. Step 4: Simplify right side
    465,004.70x = 165,738,462,395.50
  5. Step 5: Solve for x
    x = 165,738,462,395.50/465,004.70
  6. Step 6: Final answer
    x = 356,423.20

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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.