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Finding the Fourth Proportional to 412,461.60, 617,894.34 and 231,998.80

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Solution

The fourth proportional to 412,461.60, 617,894.34 and 231,998.80 is: 347,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,461.60 : 617,894.34 = 231,998.80 : x
  2. Step 2: Convert to fraction form
    412,461.60/617,894.34 = 231,998.80/x
  3. Step 3: Cross multiply
    412,461.60x = 617,894.34 × 231,998.80
  4. Step 4: Simplify right side
    412,461.60x = 143,350,745,406.79
  5. Step 5: Solve for x
    x = 143,350,745,406.79/412,461.60
  6. Step 6: Final answer
    x = 347,549.31

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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.