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Finding the Fourth Proportional to 647,583.80, 971,375.70 and 410,221.40

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Solution

The fourth proportional to 647,583.80, 971,375.70 and 410,221.40 is: 615,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,583.80 : 971,375.70 = 410,221.40 : x
  2. Step 2: Convert to fraction form
    647,583.80/971,375.70 = 410,221.40/x
  3. Step 3: Cross multiply
    647,583.80x = 971,375.70 × 410,221.40
  4. Step 4: Simplify right side
    647,583.80x = 398,479,099,579.98
  5. Step 5: Solve for x
    x = 398,479,099,579.98/647,583.80
  6. Step 6: Final answer
    x = 615,332.10

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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.