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Finding the Fourth Proportional to 353,062, 487,236.36 and 200,096.40

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Solution

The fourth proportional to 353,062, 487,236.36 and 200,096.40 is: 276,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,062 : 487,236.36 = 200,096.40 : x
  2. Step 2: Convert to fraction form
    353,062/487,236.36 = 200,096.40/x
  3. Step 3: Cross multiply
    353,062x = 487,236.36 × 200,096.40
  4. Step 4: Simplify right side
    353,062x = 97,494,241,585.10
  5. Step 5: Solve for x
    x = 97,494,241,585.10/353,062
  6. Step 6: Final answer
    x = 276,139.15

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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.