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Finding the Fourth Proportional to 431,364.30, 647,334.36 and 150,881.52

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Solution

The fourth proportional to 431,364.30, 647,334.36 and 150,881.52 is: 226,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364.30 : 647,334.36 = 150,881.52 : x
  2. Step 2: Convert to fraction form
    431,364.30/647,334.36 = 150,881.52/x
  3. Step 3: Cross multiply
    431,364.30x = 647,334.36 × 150,881.52
  4. Step 4: Simplify right side
    431,364.30x = 97,670,792,185.03
  5. Step 5: Solve for x
    x = 97,670,792,185.03/431,364.30
  6. Step 6: Final answer
    x = 226,422.98

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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.