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Finding the Fourth Proportional to 279,610.33, 419,384.10 and 77,235.20

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Solution

The fourth proportional to 279,610.33, 419,384.10 and 77,235.20 is: 115,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,610.33 : 419,384.10 = 77,235.20 : x
  2. Step 2: Convert to fraction form
    279,610.33/419,384.10 = 77,235.20/x
  3. Step 3: Cross multiply
    279,610.33x = 419,384.10 × 77,235.20
  4. Step 4: Simplify right side
    279,610.33x = 32,391,214,454.14
  5. Step 5: Solve for x
    x = 32,391,214,454.14/279,610.33
  6. Step 6: Final answer
    x = 115,844.13

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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.