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Finding the Fourth Proportional to 647,942.40, 971,913.60 and 204,710.40

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Solution

The fourth proportional to 647,942.40, 971,913.60 and 204,710.40 is: 307,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,942.40 : 971,913.60 = 204,710.40 : x
  2. Step 2: Convert to fraction form
    647,942.40/971,913.60 = 204,710.40/x
  3. Step 3: Cross multiply
    647,942.40x = 971,913.60 × 204,710.40
  4. Step 4: Simplify right side
    647,942.40x = 198,960,821,821.44
  5. Step 5: Solve for x
    x = 198,960,821,821.44/647,942.40
  6. Step 6: Final answer
    x = 307,065.60

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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.