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Finding the Fourth Proportional to 416,821.44, 575,212.80 and 225,840

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Solution

The fourth proportional to 416,821.44, 575,212.80 and 225,840 is: 311,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,821.44 : 575,212.80 = 225,840 : x
  2. Step 2: Convert to fraction form
    416,821.44/575,212.80 = 225,840/x
  3. Step 3: Cross multiply
    416,821.44x = 575,212.80 × 225,840
  4. Step 4: Simplify right side
    416,821.44x = 129,906,058,752.00
  5. Step 5: Solve for x
    x = 129,906,058,752.00/416,821.44
  6. Step 6: Final answer
    x = 311,658.77

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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.