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Finding the Fourth Proportional to 489,889.68, 734,870.16 and 205,294.56

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Solution

The fourth proportional to 489,889.68, 734,870.16 and 205,294.56 is: 307,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,889.68 : 734,870.16 = 205,294.56 : x
  2. Step 2: Convert to fraction form
    489,889.68/734,870.16 = 205,294.56/x
  3. Step 3: Cross multiply
    489,889.68x = 734,870.16 × 205,294.56
  4. Step 4: Simplify right side
    489,889.68x = 150,864,846,154.33
  5. Step 5: Solve for x
    x = 150,864,846,154.33/489,889.68
  6. Step 6: Final answer
    x = 307,956.78

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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.