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Finding the Fourth Proportional to 386,817.74, 580,233.77 and 134,106.47

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Solution

The fourth proportional to 386,817.74, 580,233.77 and 134,106.47 is: 201,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,817.74 : 580,233.77 = 134,106.47 : x
  2. Step 2: Convert to fraction form
    386,817.74/580,233.77 = 134,106.47/x
  3. Step 3: Cross multiply
    386,817.74x = 580,233.77 × 134,106.47
  4. Step 4: Simplify right side
    386,817.74x = 77,813,100,355.04
  5. Step 5: Solve for x
    x = 77,813,100,355.04/386,817.74
  6. Step 6: Final answer
    x = 201,162.18

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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.