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Finding the Fourth Proportional to 275,893.20, 413,293.05 and 243,015.30

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Solution

The fourth proportional to 275,893.20, 413,293.05 and 243,015.30 is: 364,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,893.20 : 413,293.05 = 243,015.30 : x
  2. Step 2: Convert to fraction form
    275,893.20/413,293.05 = 243,015.30/x
  3. Step 3: Cross multiply
    275,893.20x = 413,293.05 × 243,015.30
  4. Step 4: Simplify right side
    275,893.20x = 100,436,534,533.67
  5. Step 5: Solve for x
    x = 100,436,534,533.67/275,893.20
  6. Step 6: Final answer
    x = 364,041.36

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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.