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Finding the Fourth Proportional to 407,015.30, 561,715.62 and 225,785.62

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Solution

The fourth proportional to 407,015.30, 561,715.62 and 225,785.62 is: 311,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,015.30 : 561,715.62 = 225,785.62 : x
  2. Step 2: Convert to fraction form
    407,015.30/561,715.62 = 225,785.62/x
  3. Step 3: Cross multiply
    407,015.30x = 561,715.62 × 225,785.62
  4. Step 4: Simplify right side
    407,015.30x = 126,827,309,525.38
  5. Step 5: Solve for x
    x = 126,827,309,525.38/407,015.30
  6. Step 6: Final answer
    x = 311,603.30

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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.