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Finding the Fourth Proportional to 352,817.18, 486,929.46 and 209,577.80

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Solution

The fourth proportional to 352,817.18, 486,929.46 and 209,577.80 is: 289,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,817.18 : 486,929.46 = 209,577.80 : x
  2. Step 2: Convert to fraction form
    352,817.18/486,929.46 = 209,577.80/x
  3. Step 3: Cross multiply
    352,817.18x = 486,929.46 × 209,577.80
  4. Step 4: Simplify right side
    352,817.18x = 102,049,603,067.38
  5. Step 5: Solve for x
    x = 102,049,603,067.38/352,817.18
  6. Step 6: Final answer
    x = 289,242.16

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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.