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Finding the Fourth Proportional to 370,334.78, 511,103.58 and 209,200.22

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Solution

The fourth proportional to 370,334.78, 511,103.58 and 209,200.22 is: 288,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,334.78 : 511,103.58 = 209,200.22 : x
  2. Step 2: Convert to fraction form
    370,334.78/511,103.58 = 209,200.22/x
  3. Step 3: Cross multiply
    370,334.78x = 511,103.58 × 209,200.22
  4. Step 4: Simplify right side
    370,334.78x = 106,922,981,378.79
  5. Step 5: Solve for x
    x = 106,922,981,378.79/370,334.78
  6. Step 6: Final answer
    x = 288,719.79

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1.5x scale

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.