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Finding the Fourth Proportional to 387,074.80, 580,612.24 and 120,858.11

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Solution

The fourth proportional to 387,074.80, 580,612.24 and 120,858.11 is: 181,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,074.80 : 580,612.24 = 120,858.11 : x
  2. Step 2: Convert to fraction form
    387,074.80/580,612.24 = 120,858.11/x
  3. Step 3: Cross multiply
    387,074.80x = 580,612.24 × 120,858.11
  4. Step 4: Simplify right side
    387,074.80x = 70,171,697,969.27
  5. Step 5: Solve for x
    x = 70,171,697,969.27/387,074.80
  6. Step 6: Final answer
    x = 181,287.18

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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.