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Finding the Fourth Proportional to 273,486.10, 409,901.10 and 140,297.80

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Solution

The fourth proportional to 273,486.10, 409,901.10 and 140,297.80 is: 210,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,486.10 : 409,901.10 = 140,297.80 : x
  2. Step 2: Convert to fraction form
    273,486.10/409,901.10 = 140,297.80/x
  3. Step 3: Cross multiply
    273,486.10x = 409,901.10 × 140,297.80
  4. Step 4: Simplify right side
    273,486.10x = 57,508,222,547.58
  5. Step 5: Solve for x
    x = 57,508,222,547.58/273,486.10
  6. Step 6: Final answer
    x = 210,278.41

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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.