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Finding the Fourth Proportional to 489,846.40, 734,186.40 and 205,536.40

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Solution

The fourth proportional to 489,846.40, 734,186.40 and 205,536.40 is: 308,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,846.40 : 734,186.40 = 205,536.40 : x
  2. Step 2: Convert to fraction form
    489,846.40/734,186.40 = 205,536.40/x
  3. Step 3: Cross multiply
    489,846.40x = 734,186.40 × 205,536.40
  4. Step 4: Simplify right side
    489,846.40x = 150,902,029,584.96
  5. Step 5: Solve for x
    x = 150,902,029,584.96/489,846.40
  6. Step 6: Final answer
    x = 308,059.89

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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.