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Finding the Fourth Proportional to 370,712.82, 511,569.90 and 200,943.30

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Solution

The fourth proportional to 370,712.82, 511,569.90 and 200,943.30 is: 277,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,712.82 : 511,569.90 = 200,943.30 : x
  2. Step 2: Convert to fraction form
    370,712.82/511,569.90 = 200,943.30/x
  3. Step 3: Cross multiply
    370,712.82x = 511,569.90 × 200,943.30
  4. Step 4: Simplify right side
    370,712.82x = 102,796,543,886.67
  5. Step 5: Solve for x
    x = 102,796,543,886.67/370,712.82
  6. Step 6: Final answer
    x = 277,294.28

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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.