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Finding the Fourth Proportional to 370,849.55, 511,782.44 and 209,728.71

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Solution

The fourth proportional to 370,849.55, 511,782.44 and 209,728.71 is: 289,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,849.55 : 511,782.44 = 209,728.71 : x
  2. Step 2: Convert to fraction form
    370,849.55/511,782.44 = 209,728.71/x
  3. Step 3: Cross multiply
    370,849.55x = 511,782.44 × 209,728.71
  4. Step 4: Simplify right side
    370,849.55x = 107,335,469,893.21
  5. Step 5: Solve for x
    x = 107,335,469,893.21/370,849.55
  6. Step 6: Final answer
    x = 289,431.31

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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.