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Finding the Fourth Proportional to 407,007.05, 561,629.71 and 225,715.82

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Solution

The fourth proportional to 407,007.05, 561,629.71 and 225,715.82 is: 311,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,007.05 : 561,629.71 = 225,715.82 : x
  2. Step 2: Convert to fraction form
    407,007.05/561,629.71 = 225,715.82/x
  3. Step 3: Cross multiply
    407,007.05x = 561,629.71 × 225,715.82
  4. Step 4: Simplify right side
    407,007.05x = 126,768,710,529.01
  5. Step 5: Solve for x
    x = 126,768,710,529.01/407,007.05
  6. Step 6: Final answer
    x = 311,465.64

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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.