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Finding the Fourth Proportional to 408,867.57, 613,381.59 and 142,636.77

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Solution

The fourth proportional to 408,867.57, 613,381.59 and 142,636.77 is: 213,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,867.57 : 613,381.59 = 142,636.77 : x
  2. Step 2: Convert to fraction form
    408,867.57/613,381.59 = 142,636.77/x
  3. Step 3: Cross multiply
    408,867.57x = 613,381.59 × 142,636.77
  4. Step 4: Simplify right side
    408,867.57x = 87,490,768,775.06
  5. Step 5: Solve for x
    x = 87,490,768,775.06/408,867.57
  6. Step 6: Final answer
    x = 213,983.15

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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.