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Finding the Fourth Proportional to 225,007.36, 310,440 and 149,568.64

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Solution

The fourth proportional to 225,007.36, 310,440 and 149,568.64 is: 206,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,007.36 : 310,440 = 149,568.64 : x
  2. Step 2: Convert to fraction form
    225,007.36/310,440 = 149,568.64/x
  3. Step 3: Cross multiply
    225,007.36x = 310,440 × 149,568.64
  4. Step 4: Simplify right side
    225,007.36x = 46,432,088,601.60
  5. Step 5: Solve for x
    x = 46,432,088,601.60/225,007.36
  6. Step 6: Final answer
    x = 206,358.09

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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.