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Finding the Fourth Proportional to 647,476.10, 971,214.15 and 513,631.70

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Solution

The fourth proportional to 647,476.10, 971,214.15 and 513,631.70 is: 770,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476.10 : 971,214.15 = 513,631.70 : x
  2. Step 2: Convert to fraction form
    647,476.10/971,214.15 = 513,631.70/x
  3. Step 3: Cross multiply
    647,476.10x = 971,214.15 × 513,631.70
  4. Step 4: Simplify right side
    647,476.10x = 498,846,374,928.56
  5. Step 5: Solve for x
    x = 498,846,374,928.56/647,476.10
  6. Step 6: Final answer
    x = 770,447.55

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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.