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Finding the Fourth Proportional to 274,759.92, 411,430.08 and 189,633.50

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Solution

The fourth proportional to 274,759.92, 411,430.08 and 189,633.50 is: 283,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,759.92 : 411,430.08 = 189,633.50 : x
  2. Step 2: Convert to fraction form
    274,759.92/411,430.08 = 189,633.50/x
  3. Step 3: Cross multiply
    274,759.92x = 411,430.08 × 189,633.50
  4. Step 4: Simplify right side
    274,759.92x = 78,020,926,075.68
  5. Step 5: Solve for x
    x = 78,020,926,075.68/274,759.92
  6. Step 6: Final answer
    x = 283,960.36

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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.