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Finding the Fourth Proportional to 370,728.28, 511,596.42 and 209,576.44

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Solution

The fourth proportional to 370,728.28, 511,596.42 and 209,576.44 is: 289,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,728.28 : 511,596.42 = 209,576.44 : x
  2. Step 2: Convert to fraction form
    370,728.28/511,596.42 = 209,576.44/x
  3. Step 3: Cross multiply
    370,728.28x = 511,596.42 × 209,576.44
  4. Step 4: Simplify right side
    370,728.28x = 107,218,556,420.35
  5. Step 5: Solve for x
    x = 107,218,556,420.35/370,728.28
  6. Step 6: Final answer
    x = 289,210.62

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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.