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Finding the Fourth Proportional to 345,155.52, 476,346.78 and 201,906.48

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Solution

The fourth proportional to 345,155.52, 476,346.78 and 201,906.48 is: 278,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,155.52 : 476,346.78 = 201,906.48 : x
  2. Step 2: Convert to fraction form
    345,155.52/476,346.78 = 201,906.48/x
  3. Step 3: Cross multiply
    345,155.52x = 476,346.78 × 201,906.48
  4. Step 4: Simplify right side
    345,155.52x = 96,177,501,609.13
  5. Step 5: Solve for x
    x = 96,177,501,609.13/345,155.52
  6. Step 6: Final answer
    x = 278,649.76

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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.