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Finding the Fourth Proportional to 538,910.56, 808,495.70 and 201,954.15

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Solution

The fourth proportional to 538,910.56, 808,495.70 and 201,954.15 is: 302,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,910.56 : 808,495.70 = 201,954.15 : x
  2. Step 2: Convert to fraction form
    538,910.56/808,495.70 = 201,954.15/x
  3. Step 3: Cross multiply
    538,910.56x = 808,495.70 × 201,954.15
  4. Step 4: Simplify right side
    538,910.56x = 163,279,061,872.16
  5. Step 5: Solve for x
    x = 163,279,061,872.16/538,910.56
  6. Step 6: Final answer
    x = 302,979.89

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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.