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Finding the Fourth Proportional to 647,406.87, 971,252.57 and 198,162.39

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Solution

The fourth proportional to 647,406.87, 971,252.57 and 198,162.39 is: 297,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,406.87 : 971,252.57 = 198,162.39 : x
  2. Step 2: Convert to fraction form
    647,406.87/971,252.57 = 198,162.39/x
  3. Step 3: Cross multiply
    647,406.87x = 971,252.57 × 198,162.39
  4. Step 4: Simplify right side
    647,406.87x = 192,465,730,564.84
  5. Step 5: Solve for x
    x = 192,465,730,564.84/647,406.87
  6. Step 6: Final answer
    x = 297,287.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.