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Finding the Fourth Proportional to 538,279.28, 807,392.09 and 201,295.16

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Solution

The fourth proportional to 538,279.28, 807,392.09 and 201,295.16 is: 301,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,279.28 : 807,392.09 = 201,295.16 : x
  2. Step 2: Convert to fraction form
    538,279.28/807,392.09 = 201,295.16/x
  3. Step 3: Cross multiply
    538,279.28x = 807,392.09 × 201,295.16
  4. Step 4: Simplify right side
    538,279.28x = 162,524,114,895.85
  5. Step 5: Solve for x
    x = 162,524,114,895.85/538,279.28
  6. Step 6: Final answer
    x = 301,932.70

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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.