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Finding the Fourth Proportional to 469,045.92, 647,295.66 and 287,858.28

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Solution

The fourth proportional to 469,045.92, 647,295.66 and 287,858.28 is: 397,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,045.92 : 647,295.66 = 287,858.28 : x
  2. Step 2: Convert to fraction form
    469,045.92/647,295.66 = 287,858.28/x
  3. Step 3: Cross multiply
    469,045.92x = 647,295.66 × 287,858.28
  4. Step 4: Simplify right side
    469,045.92x = 186,329,415,339.07
  5. Step 5: Solve for x
    x = 186,329,415,339.07/469,045.92
  6. Step 6: Final answer
    x = 397,251.97

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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.