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Finding the Fourth Proportional to 352,462.68, 486,176.76 and 209,121

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Solution

The fourth proportional to 352,462.68, 486,176.76 and 209,121 is: 288,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,462.68 : 486,176.76 = 209,121 : x
  2. Step 2: Convert to fraction form
    352,462.68/486,176.76 = 209,121/x
  3. Step 3: Cross multiply
    352,462.68x = 486,176.76 × 209,121
  4. Step 4: Simplify right side
    352,462.68x = 101,669,770,227.96
  5. Step 5: Solve for x
    x = 101,669,770,227.96/352,462.68
  6. Step 6: Final answer
    x = 288,455.42

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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.