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Finding the Fourth Proportional to 388,215.74, 582,138.85 and 135,465.51

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Solution

The fourth proportional to 388,215.74, 582,138.85 and 135,465.51 is: 203,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,215.74 : 582,138.85 = 135,465.51 : x
  2. Step 2: Convert to fraction form
    388,215.74/582,138.85 = 135,465.51/x
  3. Step 3: Cross multiply
    388,215.74x = 582,138.85 × 135,465.51
  4. Step 4: Simplify right side
    388,215.74x = 78,859,738,304.42
  5. Step 5: Solve for x
    x = 78,859,738,304.42/388,215.74
  6. Step 6: Final answer
    x = 203,133.80

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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.