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Finding the Fourth Proportional to 356,514.98, 492,004.22 and 203,578.07

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Solution

The fourth proportional to 356,514.98, 492,004.22 and 203,578.07 is: 280,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,514.98 : 492,004.22 = 203,578.07 : x
  2. Step 2: Convert to fraction form
    356,514.98/492,004.22 = 203,578.07/x
  3. Step 3: Cross multiply
    356,514.98x = 492,004.22 × 203,578.07
  4. Step 4: Simplify right side
    356,514.98x = 100,161,266,061.54
  5. Step 5: Solve for x
    x = 100,161,266,061.54/356,514.98
  6. Step 6: Final answer
    x = 280,945.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.