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Finding the Fourth Proportional to 416,721.30, 575,073.36 and 225,735

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Solution

The fourth proportional to 416,721.30, 575,073.36 and 225,735 is: 311,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,721.30 : 575,073.36 = 225,735 : x
  2. Step 2: Convert to fraction form
    416,721.30/575,073.36 = 225,735/x
  3. Step 3: Cross multiply
    416,721.30x = 575,073.36 × 225,735
  4. Step 4: Simplify right side
    416,721.30x = 129,814,184,919.60
  5. Step 5: Solve for x
    x = 129,814,184,919.60/416,721.30
  6. Step 6: Final answer
    x = 311,513.20

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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.