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Finding the Fourth Proportional to 647,475.10, 971,212.65 and 513,630.70

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Solution

The fourth proportional to 647,475.10, 971,212.65 and 513,630.70 is: 770,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,475.10 : 971,212.65 = 513,630.70 : x
  2. Step 2: Convert to fraction form
    647,475.10/971,212.65 = 513,630.70/x
  3. Step 3: Cross multiply
    647,475.10x = 971,212.65 × 513,630.70
  4. Step 4: Simplify right side
    647,475.10x = 498,844,633,268.36
  5. Step 5: Solve for x
    x = 498,844,633,268.36/647,475.10
  6. Step 6: Final answer
    x = 770,446.05

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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.