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Finding the Fourth Proportional to 416,404.93, 574,640.63 and 225,418.32

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Solution

The fourth proportional to 416,404.93, 574,640.63 and 225,418.32 is: 311,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,404.93 : 574,640.63 = 225,418.32 : x
  2. Step 2: Convert to fraction form
    416,404.93/574,640.63 = 225,418.32/x
  3. Step 3: Cross multiply
    416,404.93x = 574,640.63 × 225,418.32
  4. Step 4: Simplify right side
    416,404.93x = 129,534,525,418.34
  5. Step 5: Solve for x
    x = 129,534,525,418.34/416,404.93
  6. Step 6: Final answer
    x = 311,078.27

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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.