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Finding the Fourth Proportional to 315,338.16, 435,640.60 and 206,700.36

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Solution

The fourth proportional to 315,338.16, 435,640.60 and 206,700.36 is: 285,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,338.16 : 435,640.60 = 206,700.36 : x
  2. Step 2: Convert to fraction form
    315,338.16/435,640.60 = 206,700.36/x
  3. Step 3: Cross multiply
    315,338.16x = 435,640.60 × 206,700.36
  4. Step 4: Simplify right side
    315,338.16x = 90,047,068,850.62
  5. Step 5: Solve for x
    x = 90,047,068,850.62/315,338.16
  6. Step 6: Final answer
    x = 285,557.16

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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.