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Finding the Fourth Proportional to 407,289.78, 611,016.60 and 141,044.40

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Solution

The fourth proportional to 407,289.78, 611,016.60 and 141,044.40 is: 211,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,289.78 : 611,016.60 = 141,044.40 : x
  2. Step 2: Convert to fraction form
    407,289.78/611,016.60 = 141,044.40/x
  3. Step 3: Cross multiply
    407,289.78x = 611,016.60 × 141,044.40
  4. Step 4: Simplify right side
    407,289.78x = 86,180,469,737.04
  5. Step 5: Solve for x
    x = 86,180,469,737.04/407,289.78
  6. Step 6: Final answer
    x = 211,594.97

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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.