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Finding the Fourth Proportional to 476,161.92, 714,222.40 and 143,728

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Solution

The fourth proportional to 476,161.92, 714,222.40 and 143,728 is: 215,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,161.92 : 714,222.40 = 143,728 : x
  2. Step 2: Convert to fraction form
    476,161.92/714,222.40 = 143,728/x
  3. Step 3: Cross multiply
    476,161.92x = 714,222.40 × 143,728
  4. Step 4: Simplify right side
    476,161.92x = 102,653,757,107.20
  5. Step 5: Solve for x
    x = 102,653,757,107.20/476,161.92
  6. Step 6: Final answer
    x = 215,585.82

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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.