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Finding the Fourth Proportional to 647,536.40, 971,304.60 and 198,256.40

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Solution

The fourth proportional to 647,536.40, 971,304.60 and 198,256.40 is: 297,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,536.40 : 971,304.60 = 198,256.40 : x
  2. Step 2: Convert to fraction form
    647,536.40/971,304.60 = 198,256.40/x
  3. Step 3: Cross multiply
    647,536.40x = 971,304.60 × 198,256.40
  4. Step 4: Simplify right side
    647,536.40x = 192,567,353,299.44
  5. Step 5: Solve for x
    x = 192,567,353,299.44/647,536.40
  6. Step 6: Final answer
    x = 297,384.60

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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.