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Finding the Fourth Proportional to 387,109.65, 580,664.21 and 120,892.98

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Solution

The fourth proportional to 387,109.65, 580,664.21 and 120,892.98 is: 181,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,109.65 : 580,664.21 = 120,892.98 : x
  2. Step 2: Convert to fraction form
    387,109.65/580,664.21 = 120,892.98/x
  3. Step 3: Cross multiply
    387,109.65x = 580,664.21 × 120,892.98
  4. Step 4: Simplify right side
    387,109.65x = 70,198,226,121.78
  5. Step 5: Solve for x
    x = 70,198,226,121.78/387,109.65
  6. Step 6: Final answer
    x = 181,339.39

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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.