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Finding the Fourth Proportional to 421,150.36, 581,187.82 and 230,163.78

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Solution

The fourth proportional to 421,150.36, 581,187.82 and 230,163.78 is: 317,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,150.36 : 581,187.82 = 230,163.78 : x
  2. Step 2: Convert to fraction form
    421,150.36/581,187.82 = 230,163.78/x
  3. Step 3: Cross multiply
    421,150.36x = 581,187.82 × 230,163.78
  4. Step 4: Simplify right side
    421,150.36x = 133,768,385,541.16
  5. Step 5: Solve for x
    x = 133,768,385,541.16/421,150.36
  6. Step 6: Final answer
    x = 317,626.19

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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.