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Finding the Fourth Proportional to 274,430.40, 411,645.60 and 108,196.80

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Solution

The fourth proportional to 274,430.40, 411,645.60 and 108,196.80 is: 162,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,430.40 : 411,645.60 = 108,196.80 : x
  2. Step 2: Convert to fraction form
    274,430.40/411,645.60 = 108,196.80/x
  3. Step 3: Cross multiply
    274,430.40x = 411,645.60 × 108,196.80
  4. Step 4: Simplify right side
    274,430.40x = 44,538,736,654.08
  5. Step 5: Solve for x
    x = 44,538,736,654.08/274,430.40
  6. Step 6: Final answer
    x = 162,295.20

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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.