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Finding the Fourth Proportional to 354,231.84, 530,757.12 and 254,242.20

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Solution

The fourth proportional to 354,231.84, 530,757.12 and 254,242.20 is: 380,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,231.84 : 530,757.12 = 254,242.20 : x
  2. Step 2: Convert to fraction form
    354,231.84/530,757.12 = 254,242.20/x
  3. Step 3: Cross multiply
    354,231.84x = 530,757.12 × 254,242.20
  4. Step 4: Simplify right side
    354,231.84x = 134,940,857,854.46
  5. Step 5: Solve for x
    x = 134,940,857,854.46/354,231.84
  6. Step 6: Final answer
    x = 380,939.38

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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.