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Finding the Fourth Proportional to 370,631, 511,472.62 and 200,865.14

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Solution

The fourth proportional to 370,631, 511,472.62 and 200,865.14 is: 277,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,631 : 511,472.62 = 200,865.14 : x
  2. Step 2: Convert to fraction form
    370,631/511,472.62 = 200,865.14/x
  3. Step 3: Cross multiply
    370,631x = 511,472.62 × 200,865.14
  4. Step 4: Simplify right side
    370,631x = 102,737,019,422.47
  5. Step 5: Solve for x
    x = 102,737,019,422.47/370,631
  6. Step 6: Final answer
    x = 277,194.89

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1.5x scale

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.