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Finding the Fourth Proportional to 258,584.50, 356,843.10 and 145,407.52

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Solution

The fourth proportional to 258,584.50, 356,843.10 and 145,407.52 is: 200,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,584.50 : 356,843.10 = 145,407.52 : x
  2. Step 2: Convert to fraction form
    258,584.50/356,843.10 = 145,407.52/x
  3. Step 3: Cross multiply
    258,584.50x = 356,843.10 × 145,407.52
  4. Step 4: Simplify right side
    258,584.50x = 51,887,670,200.11
  5. Step 5: Solve for x
    x = 51,887,670,200.11/258,584.50
  6. Step 6: Final answer
    x = 200,660.40

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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.