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Finding the Fourth Proportional to 225,438.49, 311,315.86 and 145,005.64

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Solution

The fourth proportional to 225,438.49, 311,315.86 and 145,005.64 is: 200,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,438.49 : 311,315.86 = 145,005.64 : x
  2. Step 2: Convert to fraction form
    225,438.49/311,315.86 = 145,005.64/x
  3. Step 3: Cross multiply
    225,438.49x = 311,315.86 × 145,005.64
  4. Step 4: Simplify right side
    225,438.49x = 45,142,555,859.91
  5. Step 5: Solve for x
    x = 45,142,555,859.91/225,438.49
  6. Step 6: Final answer
    x = 200,243.34

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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.