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Finding the Fourth Proportional to 489,214.40, 733,821.60 and 414,564.80

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Solution

The fourth proportional to 489,214.40, 733,821.60 and 414,564.80 is: 621,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,214.40 : 733,821.60 = 414,564.80 : x
  2. Step 2: Convert to fraction form
    489,214.40/733,821.60 = 414,564.80/x
  3. Step 3: Cross multiply
    489,214.40x = 733,821.60 × 414,564.80
  4. Step 4: Simplify right side
    489,214.40x = 304,216,604,839.68
  5. Step 5: Solve for x
    x = 304,216,604,839.68/489,214.40
  6. Step 6: Final answer
    x = 621,847.20

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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.