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Finding the Fourth Proportional to 407,855.28, 562,907.16 and 235,778.88

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Solution

The fourth proportional to 407,855.28, 562,907.16 and 235,778.88 is: 325,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,855.28 : 562,907.16 = 235,778.88 : x
  2. Step 2: Convert to fraction form
    407,855.28/562,907.16 = 235,778.88/x
  3. Step 3: Cross multiply
    407,855.28x = 562,907.16 × 235,778.88
  4. Step 4: Simplify right side
    407,855.28x = 132,721,619,728.78
  5. Step 5: Solve for x
    x = 132,721,619,728.78/407,855.28
  6. Step 6: Final answer
    x = 325,413.51

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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.