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Finding the Fourth Proportional to 489,318.80, 733,978.21 and 489,318.80

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Solution

The fourth proportional to 489,318.80, 733,978.21 and 489,318.80 is: 733,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,318.80 : 733,978.21 = 489,318.80 : x
  2. Step 2: Convert to fraction form
    489,318.80/733,978.21 = 489,318.80/x
  3. Step 3: Cross multiply
    489,318.80x = 733,978.21 × 489,318.80
  4. Step 4: Simplify right side
    489,318.80x = 359,149,336,943.35
  5. Step 5: Solve for x
    x = 359,149,336,943.35/489,318.80
  6. Step 6: Final answer
    x = 733,978.21

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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.