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Finding the Fourth Proportional to 538,286.34, 807,402.70 and 201,302.25

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Solution

The fourth proportional to 538,286.34, 807,402.70 and 201,302.25 is: 301,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,286.34 : 807,402.70 = 201,302.25 : x
  2. Step 2: Convert to fraction form
    538,286.34/807,402.70 = 201,302.25/x
  3. Step 3: Cross multiply
    538,286.34x = 807,402.70 × 201,302.25
  4. Step 4: Simplify right side
    538,286.34x = 162,531,977,389.94
  5. Step 5: Solve for x
    x = 162,531,977,389.94/538,286.34
  6. Step 6: Final answer
    x = 301,943.34

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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.