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Finding the Fourth Proportional to 460,890.83, 691,336.26 and 145,372.34

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Solution

The fourth proportional to 460,890.83, 691,336.26 and 145,372.34 is: 218,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,890.83 : 691,336.26 = 145,372.34 : x
  2. Step 2: Convert to fraction form
    460,890.83/691,336.26 = 145,372.34/x
  3. Step 3: Cross multiply
    460,890.83x = 691,336.26 × 145,372.34
  4. Step 4: Simplify right side
    460,890.83x = 100,501,169,843.05
  5. Step 5: Solve for x
    x = 100,501,169,843.05/460,890.83
  6. Step 6: Final answer
    x = 218,058.51

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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.