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Finding the Fourth Proportional to 408,938.44, 613,463.55 and 142,659.04

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Solution

The fourth proportional to 408,938.44, 613,463.55 and 142,659.04 is: 214,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,938.44 : 613,463.55 = 142,659.04 : x
  2. Step 2: Convert to fraction form
    408,938.44/613,463.55 = 142,659.04/x
  3. Step 3: Cross multiply
    408,938.44x = 613,463.55 × 142,659.04
  4. Step 4: Simplify right side
    408,938.44x = 87,516,119,049.36
  5. Step 5: Solve for x
    x = 87,516,119,049.36/408,938.44
  6. Step 6: Final answer
    x = 214,008.05

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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.