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Finding the Fourth Proportional to 315,563.80, 472,820.82 and 221,873.08

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Solution

The fourth proportional to 315,563.80, 472,820.82 and 221,873.08 is: 332,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,563.80 : 472,820.82 = 221,873.08 : x
  2. Step 2: Convert to fraction form
    315,563.80/472,820.82 = 221,873.08/x
  3. Step 3: Cross multiply
    315,563.80x = 472,820.82 × 221,873.08
  4. Step 4: Simplify right side
    315,563.80x = 104,906,211,621.53
  5. Step 5: Solve for x
    x = 104,906,211,621.53/315,563.80
  6. Step 6: Final answer
    x = 332,440.58

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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.