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Finding the Fourth Proportional to 407,021.54, 610,625.32 and 140,781.83

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Solution

The fourth proportional to 407,021.54, 610,625.32 and 140,781.83 is: 211,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,021.54 : 610,625.32 = 140,781.83 : x
  2. Step 2: Convert to fraction form
    407,021.54/610,625.32 = 140,781.83/x
  3. Step 3: Cross multiply
    407,021.54x = 610,625.32 × 140,781.83
  4. Step 4: Simplify right side
    407,021.54x = 85,964,946,588.85
  5. Step 5: Solve for x
    x = 85,964,946,588.85/407,021.54
  6. Step 6: Final answer
    x = 211,204.91

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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.