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Finding the Fourth Proportional to 515,846.40, 774,352.80 and 305,602.80

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Solution

The fourth proportional to 515,846.40, 774,352.80 and 305,602.80 is: 458,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,846.40 : 774,352.80 = 305,602.80 : x
  2. Step 2: Convert to fraction form
    515,846.40/774,352.80 = 305,602.80/x
  3. Step 3: Cross multiply
    515,846.40x = 774,352.80 × 305,602.80
  4. Step 4: Simplify right side
    515,846.40x = 236,644,383,867.84
  5. Step 5: Solve for x
    x = 236,644,383,867.84/515,846.40
  6. Step 6: Final answer
    x = 458,749.71

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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.