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Finding the Fourth Proportional to 370,398.96, 511,120.26 and 209,268

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Solution

The fourth proportional to 370,398.96, 511,120.26 and 209,268 is: 288,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,398.96 : 511,120.26 = 209,268 : x
  2. Step 2: Convert to fraction form
    370,398.96/511,120.26 = 209,268/x
  3. Step 3: Cross multiply
    370,398.96x = 511,120.26 × 209,268
  4. Step 4: Simplify right side
    370,398.96x = 106,961,114,569.68
  5. Step 5: Solve for x
    x = 106,961,114,569.68/370,398.96
  6. Step 6: Final answer
    x = 288,772.72

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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.