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Finding the Fourth Proportional to 408,855.57, 613,363.59 and 142,624.77

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Solution

The fourth proportional to 408,855.57, 613,363.59 and 142,624.77 is: 213,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855.57 : 613,363.59 = 142,624.77 : x
  2. Step 2: Convert to fraction form
    408,855.57/613,363.59 = 142,624.77/x
  3. Step 3: Cross multiply
    408,855.57x = 613,363.59 × 142,624.77
  4. Step 4: Simplify right side
    408,855.57x = 87,480,840,950.12
  5. Step 5: Solve for x
    x = 87,480,840,950.12/408,855.57
  6. Step 6: Final answer
    x = 213,965.14

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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.