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Finding the Fourth Proportional to 356,282.80, 491,678.22 and 203,317.94

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Solution

The fourth proportional to 356,282.80, 491,678.22 and 203,317.94 is: 280,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,282.80 : 491,678.22 = 203,317.94 : x
  2. Step 2: Convert to fraction form
    356,282.80/491,678.22 = 203,317.94/x
  3. Step 3: Cross multiply
    356,282.80x = 491,678.22 × 203,317.94
  4. Step 4: Simplify right side
    356,282.80x = 99,967,001,816.68
  5. Step 5: Solve for x
    x = 99,967,001,816.68/356,282.80
  6. Step 6: Final answer
    x = 280,583.30

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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.