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Finding the Fourth Proportional to 653,924.32, 980,357.12 and 204,413.76

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Solution

The fourth proportional to 653,924.32, 980,357.12 and 204,413.76 is: 306,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,924.32 : 980,357.12 = 204,413.76 : x
  2. Step 2: Convert to fraction form
    653,924.32/980,357.12 = 204,413.76/x
  3. Step 3: Cross multiply
    653,924.32x = 980,357.12 × 204,413.76
  4. Step 4: Simplify right side
    653,924.32x = 200,398,485,041.97
  5. Step 5: Solve for x
    x = 200,398,485,041.97/653,924.32
  6. Step 6: Final answer
    x = 306,455.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.