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Finding the Fourth Proportional to 352,405.46, 486,098.30 and 209,064

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Solution

The fourth proportional to 352,405.46, 486,098.30 and 209,064 is: 288,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,405.46 : 486,098.30 = 209,064 : x
  2. Step 2: Convert to fraction form
    352,405.46/486,098.30 = 209,064/x
  3. Step 3: Cross multiply
    352,405.46x = 486,098.30 × 209,064
  4. Step 4: Simplify right side
    352,405.46x = 101,625,653,945.88
  5. Step 5: Solve for x
    x = 101,625,653,945.88/352,405.46
  6. Step 6: Final answer
    x = 288,377.07

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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.