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Finding the Fourth Proportional to 409,251.76, 613,878.84 and 143,012.32

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Solution

The fourth proportional to 409,251.76, 613,878.84 and 143,012.32 is: 214,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,251.76 : 613,878.84 = 143,012.32 : x
  2. Step 2: Convert to fraction form
    409,251.76/613,878.84 = 143,012.32/x
  3. Step 3: Cross multiply
    409,251.76x = 613,878.84 × 143,012.32
  4. Step 4: Simplify right side
    409,251.76x = 87,792,237,107.31
  5. Step 5: Solve for x
    x = 87,792,237,107.31/409,251.76
  6. Step 6: Final answer
    x = 214,518.90

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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.