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Finding the Fourth Proportional to 431,672.40, 647,662.20 and 416,312.40

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Solution

The fourth proportional to 431,672.40, 647,662.20 and 416,312.40 is: 624,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,672.40 : 647,662.20 = 416,312.40 : x
  2. Step 2: Convert to fraction form
    431,672.40/647,662.20 = 416,312.40/x
  3. Step 3: Cross multiply
    431,672.40x = 647,662.20 × 416,312.40
  4. Step 4: Simplify right side
    431,672.40x = 269,629,804,871.28
  5. Step 5: Solve for x
    x = 269,629,804,871.28/431,672.40
  6. Step 6: Final answer
    x = 624,616.73

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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.