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Finding the Fourth Proportional to 255,657.60, 382,610.88 and 210,744.96

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Solution

The fourth proportional to 255,657.60, 382,610.88 and 210,744.96 is: 315,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,657.60 : 382,610.88 = 210,744.96 : x
  2. Step 2: Convert to fraction form
    255,657.60/382,610.88 = 210,744.96/x
  3. Step 3: Cross multiply
    255,657.60x = 382,610.88 × 210,744.96
  4. Step 4: Simplify right side
    255,657.60x = 80,633,314,601.16
  5. Step 5: Solve for x
    x = 80,633,314,601.16/255,657.60
  6. Step 6: Final answer
    x = 315,395.73

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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.