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Finding the Fourth Proportional to 283,183.80, 390,786.22 and 154,124.78

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Solution

The fourth proportional to 283,183.80, 390,786.22 and 154,124.78 is: 212,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,183.80 : 390,786.22 = 154,124.78 : x
  2. Step 2: Convert to fraction form
    283,183.80/390,786.22 = 154,124.78/x
  3. Step 3: Cross multiply
    283,183.80x = 390,786.22 × 154,124.78
  4. Step 4: Simplify right side
    283,183.80x = 60,229,838,423.26
  5. Step 5: Solve for x
    x = 60,229,838,423.26/283,183.80
  6. Step 6: Final answer
    x = 212,688.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.