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Finding the Fourth Proportional to 386,776, 580,178.58 and 120,535.48

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Solution

The fourth proportional to 386,776, 580,178.58 and 120,535.48 is: 180,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,776 : 580,178.58 = 120,535.48 : x
  2. Step 2: Convert to fraction form
    386,776/580,178.58 = 120,535.48/x
  3. Step 3: Cross multiply
    386,776x = 580,178.58 × 120,535.48
  4. Step 4: Simplify right side
    386,776x = 69,932,103,626.02
  5. Step 5: Solve for x
    x = 69,932,103,626.02/386,776
  6. Step 6: Final answer
    x = 180,807.76

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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.