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Finding the Fourth Proportional to 383,663.82, 575,661.54 and 205,963.32

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Solution

The fourth proportional to 383,663.82, 575,661.54 and 205,963.32 is: 309,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,663.82 : 575,661.54 = 205,963.32 : x
  2. Step 2: Convert to fraction form
    383,663.82/575,661.54 = 205,963.32/x
  3. Step 3: Cross multiply
    383,663.82x = 575,661.54 × 205,963.32
  4. Step 4: Simplify right side
    383,663.82x = 118,565,161,974.71
  5. Step 5: Solve for x
    x = 118,565,161,974.71/383,663.82
  6. Step 6: Final answer
    x = 309,033.99

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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.