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Finding the Fourth Proportional to 468,980.44, 647,204.94 and 287,792.44

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Solution

The fourth proportional to 468,980.44, 647,204.94 and 287,792.44 is: 397,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,980.44 : 647,204.94 = 287,792.44 : x
  2. Step 2: Convert to fraction form
    468,980.44/647,204.94 = 287,792.44/x
  3. Step 3: Cross multiply
    468,980.44x = 647,204.94 × 287,792.44
  4. Step 4: Simplify right side
    468,980.44x = 186,260,688,862.65
  5. Step 5: Solve for x
    x = 186,260,688,862.65/468,980.44
  6. Step 6: Final answer
    x = 397,160.89

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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.