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Finding the Fourth Proportional to 489,138.80, 733,708.20 and 347,421.20

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Solution

The fourth proportional to 489,138.80, 733,708.20 and 347,421.20 is: 521,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,138.80 : 733,708.20 = 347,421.20 : x
  2. Step 2: Convert to fraction form
    489,138.80/733,708.20 = 347,421.20/x
  3. Step 3: Cross multiply
    489,138.80x = 733,708.20 × 347,421.20
  4. Step 4: Simplify right side
    489,138.80x = 254,905,783,293.84
  5. Step 5: Solve for x
    x = 254,905,783,293.84/489,138.80
  6. Step 6: Final answer
    x = 521,131.80

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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.