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Finding the Fourth Proportional to 378,385.60, 567,837.60 and 209,905.60

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Solution

The fourth proportional to 378,385.60, 567,837.60 and 209,905.60 is: 315,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.60 : 567,837.60 = 209,905.60 : x
  2. Step 2: Convert to fraction form
    378,385.60/567,837.60 = 209,905.60/x
  3. Step 3: Cross multiply
    378,385.60x = 567,837.60 × 209,905.60
  4. Step 4: Simplify right side
    378,385.60x = 119,192,292,130.56
  5. Step 5: Solve for x
    x = 119,192,292,130.56/378,385.60
  6. Step 6: Final answer
    x = 315,002.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.