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Finding the Fourth Proportional to 416,790, 575,170.44 and 225,804.72

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Solution

The fourth proportional to 416,790, 575,170.44 and 225,804.72 is: 311,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,790 : 575,170.44 = 225,804.72 : x
  2. Step 2: Convert to fraction form
    416,790/575,170.44 = 225,804.72/x
  3. Step 3: Cross multiply
    416,790x = 575,170.44 × 225,804.72
  4. Step 4: Simplify right side
    416,790x = 129,876,200,156.48
  5. Step 5: Solve for x
    x = 129,876,200,156.48/416,790
  6. Step 6: Final answer
    x = 311,610.64

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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.