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Finding the Fourth Proportional to 259,432, 358,016.16 and 140,200

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Solution

The fourth proportional to 259,432, 358,016.16 and 140,200 is: 193,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,432 : 358,016.16 = 140,200 : x
  2. Step 2: Convert to fraction form
    259,432/358,016.16 = 140,200/x
  3. Step 3: Cross multiply
    259,432x = 358,016.16 × 140,200
  4. Step 4: Simplify right side
    259,432x = 50,193,865,632
  5. Step 5: Solve for x
    x = 50,193,865,632/259,432
  6. Step 6: Final answer
    x = 193,476

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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.