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Finding the Fourth Proportional to 474,161.85, 654,144.88 and 310,857.56

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Solution

The fourth proportional to 474,161.85, 654,144.88 and 310,857.56 is: 428,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,161.85 : 654,144.88 = 310,857.56 : x
  2. Step 2: Convert to fraction form
    474,161.85/654,144.88 = 310,857.56/x
  3. Step 3: Cross multiply
    474,161.85x = 654,144.88 × 310,857.56
  4. Step 4: Simplify right side
    474,161.85x = 203,345,883,950.89
  5. Step 5: Solve for x
    x = 203,345,883,950.89/474,161.85
  6. Step 6: Final answer
    x = 428,853.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.