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Finding the Fourth Proportional to 469,073.90, 647,639.74 and 297,144.43

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Solution

The fourth proportional to 469,073.90, 647,639.74 and 297,144.43 is: 410,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073.90 : 647,639.74 = 297,144.43 : x
  2. Step 2: Convert to fraction form
    469,073.90/647,639.74 = 297,144.43/x
  3. Step 3: Cross multiply
    469,073.90x = 647,639.74 × 297,144.43
  4. Step 4: Simplify right side
    469,073.90x = 192,442,540,139.98
  5. Step 5: Solve for x
    x = 192,442,540,139.98/469,073.90
  6. Step 6: Final answer
    x = 410,260.60

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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.