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Finding the Fourth Proportional to 214,999.20, 322,498.80 and 201,713.18

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Solution

The fourth proportional to 214,999.20, 322,498.80 and 201,713.18 is: 302,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,999.20 : 322,498.80 = 201,713.18 : x
  2. Step 2: Convert to fraction form
    214,999.20/322,498.80 = 201,713.18/x
  3. Step 3: Cross multiply
    214,999.20x = 322,498.80 × 201,713.18
  4. Step 4: Simplify right side
    214,999.20x = 65,052,256,881.69
  5. Step 5: Solve for x
    x = 65,052,256,881.69/214,999.20
  6. Step 6: Final answer
    x = 302,569.76

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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.