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Finding the Fourth Proportional to 370,849.74, 511,782.71 and 209,728.89

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Solution

The fourth proportional to 370,849.74, 511,782.71 and 209,728.89 is: 289,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,849.74 : 511,782.71 = 209,728.89 : x
  2. Step 2: Convert to fraction form
    370,849.74/511,782.71 = 209,728.89/x
  3. Step 3: Cross multiply
    370,849.74x = 511,782.71 × 209,728.89
  4. Step 4: Simplify right side
    370,849.74x = 107,335,619,689.49
  5. Step 5: Solve for x
    x = 107,335,619,689.49/370,849.74
  6. Step 6: Final answer
    x = 289,431.56

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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.