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Finding the Fourth Proportional to 370,546.92, 511,356.51 and 200,781

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Solution

The fourth proportional to 370,546.92, 511,356.51 and 200,781 is: 277,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,546.92 : 511,356.51 = 200,781 : x
  2. Step 2: Convert to fraction form
    370,546.92/511,356.51 = 200,781/x
  3. Step 3: Cross multiply
    370,546.92x = 511,356.51 × 200,781
  4. Step 4: Simplify right side
    370,546.92x = 102,670,671,434.31
  5. Step 5: Solve for x
    x = 102,670,671,434.31/370,546.92
  6. Step 6: Final answer
    x = 277,078.73

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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.