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Finding the Fourth Proportional to 210,273.94, 289,832.34 and 149,040.64

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Solution

The fourth proportional to 210,273.94, 289,832.34 and 149,040.64 is: 205,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,273.94 : 289,832.34 = 149,040.64 : x
  2. Step 2: Convert to fraction form
    210,273.94/289,832.34 = 149,040.64/x
  3. Step 3: Cross multiply
    210,273.94x = 289,832.34 × 149,040.64
  4. Step 4: Simplify right side
    210,273.94x = 43,196,797,446.30
  5. Step 5: Solve for x
    x = 43,196,797,446.30/210,273.94
  6. Step 6: Final answer
    x = 205,431.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.