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Finding the Fourth Proportional to 475,658.82, 656,429.67 and 284,635.44

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Solution

The fourth proportional to 475,658.82, 656,429.67 and 284,635.44 is: 392,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,658.82 : 656,429.67 = 284,635.44 : x
  2. Step 2: Convert to fraction form
    475,658.82/656,429.67 = 284,635.44/x
  3. Step 3: Cross multiply
    475,658.82x = 656,429.67 × 284,635.44
  4. Step 4: Simplify right side
    475,658.82x = 186,843,147,949.51
  5. Step 5: Solve for x
    x = 186,843,147,949.51/475,658.82
  6. Step 6: Final answer
    x = 392,809.17

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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.