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Finding the Fourth Proportional to 370,656, 511,502.40 and 200,885.76

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Solution

The fourth proportional to 370,656, 511,502.40 and 200,885.76 is: 277,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,656 : 511,502.40 = 200,885.76 : x
  2. Step 2: Convert to fraction form
    370,656/511,502.40 = 200,885.76/x
  3. Step 3: Cross multiply
    370,656x = 511,502.40 × 200,885.76
  4. Step 4: Simplify right side
    370,656x = 102,753,548,365.82
  5. Step 5: Solve for x
    x = 102,753,548,365.82/370,656
  6. Step 6: Final answer
    x = 277,220.79

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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.