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Finding the Fourth Proportional to 370,407.96, 511,161.30 and 200,642.49

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Solution

The fourth proportional to 370,407.96, 511,161.30 and 200,642.49 is: 276,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,407.96 : 511,161.30 = 200,642.49 : x
  2. Step 2: Convert to fraction form
    370,407.96/511,161.30 = 200,642.49/x
  3. Step 3: Cross multiply
    370,407.96x = 511,161.30 × 200,642.49
  4. Step 4: Simplify right side
    370,407.96x = 102,560,676,023.64
  5. Step 5: Solve for x
    x = 102,560,676,023.64/370,407.96
  6. Step 6: Final answer
    x = 276,885.72

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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.