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Finding the Fourth Proportional to 447,349.50, 617,138.89 and 265,958.51

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Solution

The fourth proportional to 447,349.50, 617,138.89 and 265,958.51 is: 366,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,349.50 : 617,138.89 = 265,958.51 : x
  2. Step 2: Convert to fraction form
    447,349.50/617,138.89 = 265,958.51/x
  3. Step 3: Cross multiply
    447,349.50x = 617,138.89 × 265,958.51
  4. Step 4: Simplify right side
    447,349.50x = 164,133,339,647.45
  5. Step 5: Solve for x
    x = 164,133,339,647.45/447,349.50
  6. Step 6: Final answer
    x = 366,901.81

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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.