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Finding the Fourth Proportional to 258,353.82, 387,689.90 and 163,453.28

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Solution

The fourth proportional to 258,353.82, 387,689.90 and 163,453.28 is: 245,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,353.82 : 387,689.90 = 163,453.28 : x
  2. Step 2: Convert to fraction form
    258,353.82/387,689.90 = 163,453.28/x
  3. Step 3: Cross multiply
    258,353.82x = 387,689.90 × 163,453.28
  4. Step 4: Simplify right side
    258,353.82x = 63,369,183,022.16
  5. Step 5: Solve for x
    x = 63,369,183,022.16/258,353.82
  6. Step 6: Final answer
    x = 245,280.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.