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Finding the Fourth Proportional to 225,707.61, 311,496.66 and 145,327.17

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Solution

The fourth proportional to 225,707.61, 311,496.66 and 145,327.17 is: 200,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,707.61 : 311,496.66 = 145,327.17 : x
  2. Step 2: Convert to fraction form
    225,707.61/311,496.66 = 145,327.17/x
  3. Step 3: Cross multiply
    225,707.61x = 311,496.66 × 145,327.17
  4. Step 4: Simplify right side
    225,707.61x = 45,268,928,062.25
  5. Step 5: Solve for x
    x = 45,268,928,062.25/225,707.61
  6. Step 6: Final answer
    x = 200,564.47

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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.