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Finding the Fourth Proportional to 489,954.50, 733,648.72 and 320,943.14

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Solution

The fourth proportional to 489,954.50, 733,648.72 and 320,943.14 is: 480,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,954.50 : 733,648.72 = 320,943.14 : x
  2. Step 2: Convert to fraction form
    489,954.50/733,648.72 = 320,943.14/x
  3. Step 3: Cross multiply
    489,954.50x = 733,648.72 × 320,943.14
  4. Step 4: Simplify right side
    489,954.50x = 235,459,523,853.78
  5. Step 5: Solve for x
    x = 235,459,523,853.78/489,954.50
  6. Step 6: Final answer
    x = 480,574.27

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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.