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Finding the Fourth Proportional to 370,479.29, 511,261.96 and 200,713.42

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Solution

The fourth proportional to 370,479.29, 511,261.96 and 200,713.42 is: 276,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,479.29 : 511,261.96 = 200,713.42 : x
  2. Step 2: Convert to fraction form
    370,479.29/511,261.96 = 200,713.42/x
  3. Step 3: Cross multiply
    370,479.29x = 511,261.96 × 200,713.42
  4. Step 4: Simplify right side
    370,479.29x = 102,617,133,951.19
  5. Step 5: Solve for x
    x = 102,617,133,951.19/370,479.29
  6. Step 6: Final answer
    x = 276,984.81

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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.