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Finding the Fourth Proportional to 274,588.80, 411,364.80 and 141,014.40

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Solution

The fourth proportional to 274,588.80, 411,364.80 and 141,014.40 is: 211,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,588.80 : 411,364.80 = 141,014.40 : x
  2. Step 2: Convert to fraction form
    274,588.80/411,364.80 = 141,014.40/x
  3. Step 3: Cross multiply
    274,588.80x = 411,364.80 × 141,014.40
  4. Step 4: Simplify right side
    274,588.80x = 58,008,360,453.12
  5. Step 5: Solve for x
    x = 58,008,360,453.12/274,588.80
  6. Step 6: Final answer
    x = 211,255.38

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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.