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Finding the Fourth Proportional to 390,034.44, 585,029.39 and 150,100.70

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Solution

The fourth proportional to 390,034.44, 585,029.39 and 150,100.70 is: 225,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,034.44 : 585,029.39 = 150,100.70 : x
  2. Step 2: Convert to fraction form
    390,034.44/585,029.39 = 150,100.70/x
  3. Step 3: Cross multiply
    390,034.44x = 585,029.39 × 150,100.70
  4. Step 4: Simplify right side
    390,034.44x = 87,813,317,283.92
  5. Step 5: Solve for x
    x = 87,813,317,283.92/390,034.44
  6. Step 6: Final answer
    x = 225,142.47

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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.