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Finding the Fourth Proportional to 315,757.56, 472,921.74 and 221,406.24

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Solution

The fourth proportional to 315,757.56, 472,921.74 and 221,406.24 is: 331,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,757.56 : 472,921.74 = 221,406.24 : x
  2. Step 2: Convert to fraction form
    315,757.56/472,921.74 = 221,406.24/x
  3. Step 3: Cross multiply
    315,757.56x = 472,921.74 × 221,406.24
  4. Step 4: Simplify right side
    315,757.56x = 104,707,824,267.66
  5. Step 5: Solve for x
    x = 104,707,824,267.66/315,757.56
  6. Step 6: Final answer
    x = 331,608.29

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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.