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Finding the Fourth Proportional to 345,902.57, 477,272.63 and 210,007.97

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Solution

The fourth proportional to 345,902.57, 477,272.63 and 210,007.97 is: 289,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,902.57 : 477,272.63 = 210,007.97 : x
  2. Step 2: Convert to fraction form
    345,902.57/477,272.63 = 210,007.97/x
  3. Step 3: Cross multiply
    345,902.57x = 477,272.63 × 210,007.97
  4. Step 4: Simplify right side
    345,902.57x = 100,231,056,162.86
  5. Step 5: Solve for x
    x = 100,231,056,162.86/345,902.57
  6. Step 6: Final answer
    x = 289,766.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.