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Finding the Fourth Proportional to 272,693.70, 409,368.60 and 270,725.40

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Solution

The fourth proportional to 272,693.70, 409,368.60 and 270,725.40 is: 406,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,693.70 : 409,368.60 = 270,725.40 : x
  2. Step 2: Convert to fraction form
    272,693.70/409,368.60 = 270,725.40/x
  3. Step 3: Cross multiply
    272,693.70x = 409,368.60 × 270,725.40
  4. Step 4: Simplify right side
    272,693.70x = 110,826,477,982.44
  5. Step 5: Solve for x
    x = 110,826,477,982.44/272,693.70
  6. Step 6: Final answer
    x = 406,413.78

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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.