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Finding the Fourth Proportional to 273,386.40, 410,144.40 and 140,287.20

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Solution

The fourth proportional to 273,386.40, 410,144.40 and 140,287.20 is: 210,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,386.40 : 410,144.40 = 140,287.20 : x
  2. Step 2: Convert to fraction form
    273,386.40/410,144.40 = 140,287.20/x
  3. Step 3: Cross multiply
    273,386.40x = 410,144.40 × 140,287.20
  4. Step 4: Simplify right side
    273,386.40x = 57,538,009,471.68
  5. Step 5: Solve for x
    x = 57,538,009,471.68/273,386.40
  6. Step 6: Final answer
    x = 210,464.05

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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.