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Finding the Fourth Proportional to 465,017.72, 641,702.52 and 258,299.48

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Solution

The fourth proportional to 465,017.72, 641,702.52 and 258,299.48 is: 356,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,017.72 : 641,702.52 = 258,299.48 : x
  2. Step 2: Convert to fraction form
    465,017.72/641,702.52 = 258,299.48/x
  3. Step 3: Cross multiply
    465,017.72x = 641,702.52 × 258,299.48
  4. Step 4: Simplify right side
    465,017.72x = 165,751,427,230.69
  5. Step 5: Solve for x
    x = 165,751,427,230.69/465,017.72
  6. Step 6: Final answer
    x = 356,441.10

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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.