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Finding the Fourth Proportional to 352,308.47, 486,311.76 and 209,068.50

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Solution

The fourth proportional to 352,308.47, 486,311.76 and 209,068.50 is: 288,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,308.47 : 486,311.76 = 209,068.50 : x
  2. Step 2: Convert to fraction form
    352,308.47/486,311.76 = 209,068.50/x
  3. Step 3: Cross multiply
    352,308.47x = 486,311.76 × 209,068.50
  4. Step 4: Simplify right side
    352,308.47x = 101,672,470,195.56
  5. Step 5: Solve for x
    x = 101,672,470,195.56/352,308.47
  6. Step 6: Final answer
    x = 288,589.35

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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.