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Finding the Fourth Proportional to 214,486.64, 321,561.72 and 135,434.78

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Solution

The fourth proportional to 214,486.64, 321,561.72 and 135,434.78 is: 203,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,486.64 : 321,561.72 = 135,434.78 : x
  2. Step 2: Convert to fraction form
    214,486.64/321,561.72 = 135,434.78/x
  3. Step 3: Cross multiply
    214,486.64x = 321,561.72 × 135,434.78
  4. Step 4: Simplify right side
    214,486.64x = 43,550,640,804.62
  5. Step 5: Solve for x
    x = 43,550,640,804.62/214,486.64
  6. Step 6: Final answer
    x = 203,045.94

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1.5x scale

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.