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Finding the Fourth Proportional to 386,709.42, 580,064.13 and 120,491.46

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Solution

The fourth proportional to 386,709.42, 580,064.13 and 120,491.46 is: 180,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,709.42 : 580,064.13 = 120,491.46 : x
  2. Step 2: Convert to fraction form
    386,709.42/580,064.13 = 120,491.46/x
  3. Step 3: Cross multiply
    386,709.42x = 580,064.13 × 120,491.46
  4. Step 4: Simplify right side
    386,709.42x = 69,892,773,917.33
  5. Step 5: Solve for x
    x = 69,892,773,917.33/386,709.42
  6. Step 6: Final answer
    x = 180,737.19

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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.