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Finding the Fourth Proportional to 489,791.62, 734,970.88 and 205,456.71

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Solution

The fourth proportional to 489,791.62, 734,970.88 and 205,456.71 is: 308,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,791.62 : 734,970.88 = 205,456.71 : x
  2. Step 2: Convert to fraction form
    489,791.62/734,970.88 = 205,456.71/x
  3. Step 3: Cross multiply
    489,791.62x = 734,970.88 × 205,456.71
  4. Step 4: Simplify right side
    489,791.62x = 151,004,701,963.57
  5. Step 5: Solve for x
    x = 151,004,701,963.57/489,791.62
  6. Step 6: Final answer
    x = 308,303.97

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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.