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Finding the Fourth Proportional to 408,938.94, 613,464.30 and 142,659.54

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Solution

The fourth proportional to 408,938.94, 613,464.30 and 142,659.54 is: 214,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,938.94 : 613,464.30 = 142,659.54 : x
  2. Step 2: Convert to fraction form
    408,938.94/613,464.30 = 142,659.54/x
  3. Step 3: Cross multiply
    408,938.94x = 613,464.30 × 142,659.54
  4. Step 4: Simplify right side
    408,938.94x = 87,516,534,844.42
  5. Step 5: Solve for x
    x = 87,516,534,844.42/408,938.94
  6. Step 6: Final answer
    x = 214,008.81

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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.