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Finding the Fourth Proportional to 262,828, 362,702.64 and 143,596

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Solution

The fourth proportional to 262,828, 362,702.64 and 143,596 is: 198,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,828 : 362,702.64 = 143,596 : x
  2. Step 2: Convert to fraction form
    262,828/362,702.64 = 143,596/x
  3. Step 3: Cross multiply
    262,828x = 362,702.64 × 143,596
  4. Step 4: Simplify right side
    262,828x = 52,082,648,293.44
  5. Step 5: Solve for x
    x = 52,082,648,293.44/262,828
  6. Step 6: Final answer
    x = 198,162.48

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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.