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Finding the Fourth Proportional to 352,444, 486,151.42 and 209,102.56

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Solution

The fourth proportional to 352,444, 486,151.42 and 209,102.56 is: 288,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,444 : 486,151.42 = 209,102.56 : x
  2. Step 2: Convert to fraction form
    352,444/486,151.42 = 209,102.56/x
  3. Step 3: Cross multiply
    352,444x = 486,151.42 × 209,102.56
  4. Step 4: Simplify right side
    352,444x = 101,655,506,469.64
  5. Step 5: Solve for x
    x = 101,655,506,469.64/352,444
  6. Step 6: Final answer
    x = 288,430.24

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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.