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Finding the Fourth Proportional to 259,334.40, 386,274.24 and 247,200

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Solution

The fourth proportional to 259,334.40, 386,274.24 and 247,200 is: 368,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,334.40 : 386,274.24 = 247,200 : x
  2. Step 2: Convert to fraction form
    259,334.40/386,274.24 = 247,200/x
  3. Step 3: Cross multiply
    259,334.40x = 386,274.24 × 247,200
  4. Step 4: Simplify right side
    259,334.40x = 95,486,992,128
  5. Step 5: Solve for x
    x = 95,486,992,128/259,334.40
  6. Step 6: Final answer
    x = 368,200.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.