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Finding the Fourth Proportional to 370,400.53, 511,152.79 and 200,634.66

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Solution

The fourth proportional to 370,400.53, 511,152.79 and 200,634.66 is: 276,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,400.53 : 511,152.79 = 200,634.66 : x
  2. Step 2: Convert to fraction form
    370,400.53/511,152.79 = 200,634.66/x
  3. Step 3: Cross multiply
    370,400.53x = 511,152.79 × 200,634.66
  4. Step 4: Simplify right side
    370,400.53x = 102,554,966,229.70
  5. Step 5: Solve for x
    x = 102,554,966,229.70/370,400.53
  6. Step 6: Final answer
    x = 276,875.86

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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.