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Finding the Fourth Proportional to 647,472.10, 971,208.15 and 513,627.70

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Solution

The fourth proportional to 647,472.10, 971,208.15 and 513,627.70 is: 770,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472.10 : 971,208.15 = 513,627.70 : x
  2. Step 2: Convert to fraction form
    647,472.10/971,208.15 = 513,627.70/x
  3. Step 3: Cross multiply
    647,472.10x = 971,208.15 × 513,627.70
  4. Step 4: Simplify right side
    647,472.10x = 498,839,408,305.76
  5. Step 5: Solve for x
    x = 498,839,408,305.76/647,472.10
  6. Step 6: Final answer
    x = 770,441.55

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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.