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Finding the Fourth Proportional to 258,310.54, 356,454.84 and 145,126

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Solution

The fourth proportional to 258,310.54, 356,454.84 and 145,126 is: 200,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,310.54 : 356,454.84 = 145,126 : x
  2. Step 2: Convert to fraction form
    258,310.54/356,454.84 = 145,126/x
  3. Step 3: Cross multiply
    258,310.54x = 356,454.84 × 145,126
  4. Step 4: Simplify right side
    258,310.54x = 51,730,865,109.84
  5. Step 5: Solve for x
    x = 51,730,865,109.84/258,310.54
  6. Step 6: Final answer
    x = 200,266.18

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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.