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Finding the Fourth Proportional to 515,877.60, 774,242.80 and 263,344.64

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Solution

The fourth proportional to 515,877.60, 774,242.80 and 263,344.64 is: 395,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,877.60 : 774,242.80 = 263,344.64 : x
  2. Step 2: Convert to fraction form
    515,877.60/774,242.80 = 263,344.64/x
  3. Step 3: Cross multiply
    515,877.60x = 774,242.80 × 263,344.64
  4. Step 4: Simplify right side
    515,877.60x = 203,892,691,438.59
  5. Step 5: Solve for x
    x = 203,892,691,438.59/515,877.60
  6. Step 6: Final answer
    x = 395,234.63

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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.