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Finding the Fourth Proportional to 370,849.49, 511,782.36 and 209,728.64

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Solution

The fourth proportional to 370,849.49, 511,782.36 and 209,728.64 is: 289,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,849.49 : 511,782.36 = 209,728.64 : x
  2. Step 2: Convert to fraction form
    370,849.49/511,782.36 = 209,728.64/x
  3. Step 3: Cross multiply
    370,849.49x = 511,782.36 × 209,728.64
  4. Step 4: Simplify right side
    370,849.49x = 107,335,418,338.79
  5. Step 5: Solve for x
    x = 107,335,418,338.79/370,849.49
  6. Step 6: Final answer
    x = 289,431.21

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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.