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Finding the Fourth Proportional to 258,309.54, 356,453.46 and 145,125

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Solution

The fourth proportional to 258,309.54, 356,453.46 and 145,125 is: 200,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,309.54 : 356,453.46 = 145,125 : x
  2. Step 2: Convert to fraction form
    258,309.54/356,453.46 = 145,125/x
  3. Step 3: Cross multiply
    258,309.54x = 356,453.46 × 145,125
  4. Step 4: Simplify right side
    258,309.54x = 51,730,308,382.50
  5. Step 5: Solve for x
    x = 51,730,308,382.50/258,309.54
  6. Step 6: Final answer
    x = 200,264.80

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1.5x scale

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.