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Finding the Fourth Proportional to 352,307.97, 486,311.07 and 209,068

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Solution

The fourth proportional to 352,307.97, 486,311.07 and 209,068 is: 288,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,307.97 : 486,311.07 = 209,068 : x
  2. Step 2: Convert to fraction form
    352,307.97/486,311.07 = 209,068/x
  3. Step 3: Cross multiply
    352,307.97x = 486,311.07 × 209,068
  4. Step 4: Simplify right side
    352,307.97x = 101,672,082,782.76
  5. Step 5: Solve for x
    x = 101,672,082,782.76/352,307.97
  6. Step 6: Final answer
    x = 288,588.65

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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.