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Finding the Fourth Proportional to 352,902.16, 486,950.16 and 209,658.52

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Solution

The fourth proportional to 352,902.16, 486,950.16 and 209,658.52 is: 289,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,902.16 : 486,950.16 = 209,658.52 : x
  2. Step 2: Convert to fraction form
    352,902.16/486,950.16 = 209,658.52/x
  3. Step 3: Cross multiply
    352,902.16x = 486,950.16 × 209,658.52
  4. Step 4: Simplify right side
    352,902.16x = 102,093,249,859.36
  5. Step 5: Solve for x
    x = 102,093,249,859.36/352,902.16
  6. Step 6: Final answer
    x = 289,296.19

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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.