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Finding the Fourth Proportional to 390,183.05, 585,321.47 and 137,411.30

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Solution

The fourth proportional to 390,183.05, 585,321.47 and 137,411.30 is: 206,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,183.05 : 585,321.47 = 137,411.30 : x
  2. Step 2: Convert to fraction form
    390,183.05/585,321.47 = 137,411.30/x
  3. Step 3: Cross multiply
    390,183.05x = 585,321.47 × 137,411.30
  4. Step 4: Simplify right side
    390,183.05x = 80,429,780,496.95
  5. Step 5: Solve for x
    x = 80,429,780,496.95/390,183.05
  6. Step 6: Final answer
    x = 206,133.46

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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.