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Finding the Fourth Proportional to 316,997.57, 474,707.49 and 221,782.25

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Solution

The fourth proportional to 316,997.57, 474,707.49 and 221,782.25 is: 332,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,997.57 : 474,707.49 = 221,782.25 : x
  2. Step 2: Convert to fraction form
    316,997.57/474,707.49 = 221,782.25/x
  3. Step 3: Cross multiply
    316,997.57x = 474,707.49 × 221,782.25
  4. Step 4: Simplify right side
    316,997.57x = 105,281,695,579.14
  5. Step 5: Solve for x
    x = 105,281,695,579.14/316,997.57
  6. Step 6: Final answer
    x = 332,121.46

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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.