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Finding the Fourth Proportional to 356,356.16, 491,765.28 and 195,214.40

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Solution

The fourth proportional to 356,356.16, 491,765.28 and 195,214.40 is: 269,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,356.16 : 491,765.28 = 195,214.40 : x
  2. Step 2: Convert to fraction form
    356,356.16/491,765.28 = 195,214.40/x
  3. Step 3: Cross multiply
    356,356.16x = 491,765.28 × 195,214.40
  4. Step 4: Simplify right side
    356,356.16x = 95,999,664,076.03
  5. Step 5: Solve for x
    x = 95,999,664,076.03/356,356.16
  6. Step 6: Final answer
    x = 269,392.46

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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.