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Finding the Fourth Proportional to 489,895.68, 734,879.16 and 205,300.56

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Solution

The fourth proportional to 489,895.68, 734,879.16 and 205,300.56 is: 307,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,895.68 : 734,879.16 = 205,300.56 : x
  2. Step 2: Convert to fraction form
    489,895.68/734,879.16 = 205,300.56/x
  3. Step 3: Cross multiply
    489,895.68x = 734,879.16 × 205,300.56
  4. Step 4: Simplify right side
    489,895.68x = 150,871,103,080.33
  5. Step 5: Solve for x
    x = 150,871,103,080.33/489,895.68
  6. Step 6: Final answer
    x = 307,965.78

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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.