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Finding the Fourth Proportional to 489,794.50, 734,975.20 and 205,459.59

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Solution

The fourth proportional to 489,794.50, 734,975.20 and 205,459.59 is: 308,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,794.50 : 734,975.20 = 205,459.59 : x
  2. Step 2: Convert to fraction form
    489,794.50/734,975.20 = 205,459.59/x
  3. Step 3: Cross multiply
    489,794.50x = 734,975.20 × 205,459.59
  4. Step 4: Simplify right side
    489,794.50x = 151,007,703,252.17
  5. Step 5: Solve for x
    x = 151,007,703,252.17/489,794.50
  6. Step 6: Final answer
    x = 308,308.29

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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.