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Finding the Fourth Proportional to 515,825.82, 773,692.86 and 178,858.94

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Solution

The fourth proportional to 515,825.82, 773,692.86 and 178,858.94 is: 268,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,825.82 : 773,692.86 = 178,858.94 : x
  2. Step 2: Convert to fraction form
    515,825.82/773,692.86 = 178,858.94/x
  3. Step 3: Cross multiply
    515,825.82x = 773,692.86 × 178,858.94
  4. Step 4: Simplify right side
    515,825.82x = 138,381,881,627.43
  5. Step 5: Solve for x
    x = 138,381,881,627.43/515,825.82
  6. Step 6: Final answer
    x = 268,272.50

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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.