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Finding the Fourth Proportional to 647,476.20, 971,214.30 and 398,298.60

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Solution

The fourth proportional to 647,476.20, 971,214.30 and 398,298.60 is: 597,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476.20 : 971,214.30 = 398,298.60 : x
  2. Step 2: Convert to fraction form
    647,476.20/971,214.30 = 398,298.60/x
  3. Step 3: Cross multiply
    647,476.20x = 971,214.30 × 398,298.60
  4. Step 4: Simplify right side
    647,476.20x = 386,833,295,989.98
  5. Step 5: Solve for x
    x = 386,833,295,989.98/647,476.20
  6. Step 6: Final answer
    x = 597,447.90

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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.