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Finding the Fourth Proportional to 517,914.60, 775,705.50 and 265,272.36

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Solution

The fourth proportional to 517,914.60, 775,705.50 and 265,272.36 is: 397,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,914.60 : 775,705.50 = 265,272.36 : x
  2. Step 2: Convert to fraction form
    517,914.60/775,705.50 = 265,272.36/x
  3. Step 3: Cross multiply
    517,914.60x = 775,705.50 × 265,272.36
  4. Step 4: Simplify right side
    517,914.60x = 205,773,228,649.98
  5. Step 5: Solve for x
    x = 205,773,228,649.98/517,914.60
  6. Step 6: Final answer
    x = 397,311.12

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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.