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Finding the Fourth Proportional to 273,498.10, 409,919.10 and 140,309.80

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Solution

The fourth proportional to 273,498.10, 409,919.10 and 140,309.80 is: 210,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,498.10 : 409,919.10 = 140,309.80 : x
  2. Step 2: Convert to fraction form
    273,498.10/409,919.10 = 140,309.80/x
  3. Step 3: Cross multiply
    273,498.10x = 409,919.10 × 140,309.80
  4. Step 4: Simplify right side
    273,498.10x = 57,515,666,937.18
  5. Step 5: Solve for x
    x = 57,515,666,937.18/273,498.10
  6. Step 6: Final answer
    x = 210,296.40

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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.