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Finding the Fourth Proportional to 352,305.97, 486,308.31 and 209,065.97

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Solution

The fourth proportional to 352,305.97, 486,308.31 and 209,065.97 is: 288,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,305.97 : 486,308.31 = 209,065.97 : x
  2. Step 2: Convert to fraction form
    352,305.97/486,308.31 = 209,065.97/x
  3. Step 3: Cross multiply
    352,305.97x = 486,308.31 × 209,065.97
  4. Step 4: Simplify right side
    352,305.97x = 101,670,518,549.21
  5. Step 5: Solve for x
    x = 101,670,518,549.21/352,305.97
  6. Step 6: Final answer
    x = 288,585.85

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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.