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Finding the Fourth Proportional to 408,828.42, 613,344.69 and 142,592.76

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Solution

The fourth proportional to 408,828.42, 613,344.69 and 142,592.76 is: 213,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,828.42 : 613,344.69 = 142,592.76 : x
  2. Step 2: Convert to fraction form
    408,828.42/613,344.69 = 142,592.76/x
  3. Step 3: Cross multiply
    408,828.42x = 613,344.69 × 142,592.76
  4. Step 4: Simplify right side
    408,828.42x = 87,458,512,178.44
  5. Step 5: Solve for x
    x = 87,458,512,178.44/408,828.42
  6. Step 6: Final answer
    x = 213,924.74

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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.