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Finding the Fourth Proportional to 468,965.76, 647,184.78 and 287,777.82

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Solution

The fourth proportional to 468,965.76, 647,184.78 and 287,777.82 is: 397,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,965.76 : 647,184.78 = 287,777.82 : x
  2. Step 2: Convert to fraction form
    468,965.76/647,184.78 = 287,777.82/x
  3. Step 3: Cross multiply
    468,965.76x = 647,184.78 × 287,777.82
  4. Step 4: Simplify right side
    468,965.76x = 186,245,425,125.58
  5. Step 5: Solve for x
    x = 186,245,425,125.58/468,965.76
  6. Step 6: Final answer
    x = 397,140.77

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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.