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Finding the Fourth Proportional to 370,674, 511,537.98 and 209,519.43

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Solution

The fourth proportional to 370,674, 511,537.98 and 209,519.43 is: 289,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,674 : 511,537.98 = 209,519.43 : x
  2. Step 2: Convert to fraction form
    370,674/511,537.98 = 209,519.43/x
  3. Step 3: Cross multiply
    370,674x = 511,537.98 × 209,519.43
  4. Step 4: Simplify right side
    370,674x = 107,177,145,992.95
  5. Step 5: Solve for x
    x = 107,177,145,992.95/370,674
  6. Step 6: Final answer
    x = 289,141.26

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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.