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Finding the Fourth Proportional to 468,963.89, 647,182.22 and 287,775.93

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Solution

The fourth proportional to 468,963.89, 647,182.22 and 287,775.93 is: 397,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,963.89 : 647,182.22 = 287,775.93 : x
  2. Step 2: Convert to fraction form
    468,963.89/647,182.22 = 287,775.93/x
  3. Step 3: Cross multiply
    468,963.89x = 647,182.22 × 287,775.93
  4. Step 4: Simplify right side
    468,963.89x = 186,243,463,801.09
  5. Step 5: Solve for x
    x = 186,243,463,801.09/468,963.89
  6. Step 6: Final answer
    x = 397,138.18

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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.