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Finding the Fourth Proportional to 489,293.80, 733,940.70 and 208,839.40

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Solution

The fourth proportional to 489,293.80, 733,940.70 and 208,839.40 is: 313,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,293.80 : 733,940.70 = 208,839.40 : x
  2. Step 2: Convert to fraction form
    489,293.80/733,940.70 = 208,839.40/x
  3. Step 3: Cross multiply
    489,293.80x = 733,940.70 × 208,839.40
  4. Step 4: Simplify right side
    489,293.80x = 153,275,735,423.58
  5. Step 5: Solve for x
    x = 153,275,735,423.58/489,293.80
  6. Step 6: Final answer
    x = 313,259.10

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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.