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Finding the Fourth Proportional to 389,485, 584,227.50 and 93,997

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Solution

The fourth proportional to 389,485, 584,227.50 and 93,997 is: 140,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,485 : 584,227.50 = 93,997 : x
  2. Step 2: Convert to fraction form
    389,485/584,227.50 = 93,997/x
  3. Step 3: Cross multiply
    389,485x = 584,227.50 × 93,997
  4. Step 4: Simplify right side
    389,485x = 54,915,632,317.50
  5. Step 5: Solve for x
    x = 54,915,632,317.50/389,485
  6. Step 6: Final answer
    x = 140,995.50

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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.