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Finding the Fourth Proportional to 416,645.32, 574,973.22 and 225,661

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Solution

The fourth proportional to 416,645.32, 574,973.22 and 225,661 is: 311,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,645.32 : 574,973.22 = 225,661 : x
  2. Step 2: Convert to fraction form
    416,645.32/574,973.22 = 225,661/x
  3. Step 3: Cross multiply
    416,645.32x = 574,973.22 × 225,661
  4. Step 4: Simplify right side
    416,645.32x = 129,749,031,798.42
  5. Step 5: Solve for x
    x = 129,749,031,798.42/416,645.32
  6. Step 6: Final answer
    x = 311,413.63

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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.