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Finding the Fourth Proportional to 409,862.80, 614,131.80 and 231,840.40

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Solution

The fourth proportional to 409,862.80, 614,131.80 and 231,840.40 is: 347,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,862.80 : 614,131.80 = 231,840.40 : x
  2. Step 2: Convert to fraction form
    409,862.80/614,131.80 = 231,840.40/x
  3. Step 3: Cross multiply
    409,862.80x = 614,131.80 × 231,840.40
  4. Step 4: Simplify right side
    409,862.80x = 142,380,562,164.72
  5. Step 5: Solve for x
    x = 142,380,562,164.72/409,862.80
  6. Step 6: Final answer
    x = 347,385.91

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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.