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Finding the Fourth Proportional to 370,642.72, 511,484.88 and 200,876.80

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Solution

The fourth proportional to 370,642.72, 511,484.88 and 200,876.80 is: 277,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,642.72 : 511,484.88 = 200,876.80 : x
  2. Step 2: Convert to fraction form
    370,642.72/511,484.88 = 200,876.80/x
  3. Step 3: Cross multiply
    370,642.72x = 511,484.88 × 200,876.80
  4. Step 4: Simplify right side
    370,642.72x = 102,745,445,942.78
  5. Step 5: Solve for x
    x = 102,745,445,942.78/370,642.72
  6. Step 6: Final answer
    x = 277,208.86

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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.