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Finding the Fourth Proportional to 489,208.40, 733,812.60 and 320,809.40

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Solution

The fourth proportional to 489,208.40, 733,812.60 and 320,809.40 is: 481,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,208.40 : 733,812.60 = 320,809.40 : x
  2. Step 2: Convert to fraction form
    489,208.40/733,812.60 = 320,809.40/x
  3. Step 3: Cross multiply
    489,208.40x = 733,812.60 × 320,809.40
  4. Step 4: Simplify right side
    489,208.40x = 235,413,979,918.44
  5. Step 5: Solve for x
    x = 235,413,979,918.44/489,208.40
  6. Step 6: Final answer
    x = 481,214.10

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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.