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Finding the Fourth Proportional to 538,431.35, 807,960.98 and 201,708.53

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Solution

The fourth proportional to 538,431.35, 807,960.98 and 201,708.53 is: 302,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,431.35 : 807,960.98 = 201,708.53 : x
  2. Step 2: Convert to fraction form
    538,431.35/807,960.98 = 201,708.53/x
  3. Step 3: Cross multiply
    538,431.35x = 807,960.98 × 201,708.53
  4. Step 4: Simplify right side
    538,431.35x = 162,972,619,932.87
  5. Step 5: Solve for x
    x = 162,972,619,932.87/538,431.35
  6. Step 6: Final answer
    x = 302,680.41

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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.