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Finding the Fourth Proportional to 469,924.50, 648,496.46 and 255,064.61

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Solution

The fourth proportional to 469,924.50, 648,496.46 and 255,064.61 is: 351,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,924.50 : 648,496.46 = 255,064.61 : x
  2. Step 2: Convert to fraction form
    469,924.50/648,496.46 = 255,064.61/x
  3. Step 3: Cross multiply
    469,924.50x = 648,496.46 × 255,064.61
  4. Step 4: Simplify right side
    469,924.50x = 165,408,493,413.80
  5. Step 5: Solve for x
    x = 165,408,493,413.80/469,924.50
  6. Step 6: Final answer
    x = 351,989.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.