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Finding the Fourth Proportional to 517,205.45, 774,148.77 and 276,717.75

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Solution

The fourth proportional to 517,205.45, 774,148.77 and 276,717.75 is: 414,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,205.45 : 774,148.77 = 276,717.75 : x
  2. Step 2: Convert to fraction form
    517,205.45/774,148.77 = 276,717.75/x
  3. Step 3: Cross multiply
    517,205.45x = 774,148.77 × 276,717.75
  4. Step 4: Simplify right side
    517,205.45x = 214,220,705,799.67
  5. Step 5: Solve for x
    x = 214,220,705,799.67/517,205.45
  6. Step 6: Final answer
    x = 414,188.80

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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.