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Finding the Fourth Proportional to 489,213.40, 733,820.10 and 414,563.80

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Solution

The fourth proportional to 489,213.40, 733,820.10 and 414,563.80 is: 621,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,213.40 : 733,820.10 = 414,563.80 : x
  2. Step 2: Convert to fraction form
    489,213.40/733,820.10 = 414,563.80/x
  3. Step 3: Cross multiply
    489,213.40x = 733,820.10 × 414,563.80
  4. Step 4: Simplify right side
    489,213.40x = 304,215,249,172.38
  5. Step 5: Solve for x
    x = 304,215,249,172.38/489,213.40
  6. Step 6: Final answer
    x = 621,845.70

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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.