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Finding the Fourth Proportional to 386,762.14, 580,143.36 and 120,544.10

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Solution

The fourth proportional to 386,762.14, 580,143.36 and 120,544.10 is: 180,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,762.14 : 580,143.36 = 120,544.10 : x
  2. Step 2: Convert to fraction form
    386,762.14/580,143.36 = 120,544.10/x
  3. Step 3: Cross multiply
    386,762.14x = 580,143.36 × 120,544.10
  4. Step 4: Simplify right side
    386,762.14x = 69,932,858,929.04
  5. Step 5: Solve for x
    x = 69,932,858,929.04/386,762.14
  6. Step 6: Final answer
    x = 180,816.20

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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.