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Finding the Fourth Proportional to 370,489.10, 511,275.47 and 200,723.23

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Solution

The fourth proportional to 370,489.10, 511,275.47 and 200,723.23 is: 276,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,489.10 : 511,275.47 = 200,723.23 : x
  2. Step 2: Convert to fraction form
    370,489.10/511,275.47 = 200,723.23/x
  3. Step 3: Cross multiply
    370,489.10x = 511,275.47 × 200,723.23
  4. Step 4: Simplify right side
    370,489.10x = 102,624,863,758.17
  5. Step 5: Solve for x
    x = 102,624,863,758.17/370,489.10
  6. Step 6: Final answer
    x = 276,998.33

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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.