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Finding the Fourth Proportional to 258,248.25, 356,382.59 and 145,071

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Solution

The fourth proportional to 258,248.25, 356,382.59 and 145,071 is: 200,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,248.25 : 356,382.59 = 145,071 : x
  2. Step 2: Convert to fraction form
    258,248.25/356,382.59 = 145,071/x
  3. Step 3: Cross multiply
    258,248.25x = 356,382.59 × 145,071
  4. Step 4: Simplify right side
    258,248.25x = 51,700,777,988.54
  5. Step 5: Solve for x
    x = 51,700,777,988.54/258,248.25
  6. Step 6: Final answer
    x = 200,197.98

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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.