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Finding the Fourth Proportional to 647,943.40, 971,915.10 and 204,711.40

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Solution

The fourth proportional to 647,943.40, 971,915.10 and 204,711.40 is: 307,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,943.40 : 971,915.10 = 204,711.40 : x
  2. Step 2: Convert to fraction form
    647,943.40/971,915.10 = 204,711.40/x
  3. Step 3: Cross multiply
    647,943.40x = 971,915.10 × 204,711.40
  4. Step 4: Simplify right side
    647,943.40x = 198,962,100,802.14
  5. Step 5: Solve for x
    x = 198,962,100,802.14/647,943.40
  6. Step 6: Final answer
    x = 307,067.10

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Similar ratio
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1.5x scale

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.