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Finding the Fourth Proportional to 352,404.96, 486,097.60 and 209,063.50

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Solution

The fourth proportional to 352,404.96, 486,097.60 and 209,063.50 is: 288,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,404.96 : 486,097.60 = 209,063.50 : x
  2. Step 2: Convert to fraction form
    352,404.96/486,097.60 = 209,063.50/x
  3. Step 3: Cross multiply
    352,404.96x = 486,097.60 × 209,063.50
  4. Step 4: Simplify right side
    352,404.96x = 101,625,265,597.60
  5. Step 5: Solve for x
    x = 101,625,265,597.60/352,404.96
  6. Step 6: Final answer
    x = 288,376.38

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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.