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Finding the Fourth Proportional to 384,819, 531,040.32 and 215,054.52

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Solution

The fourth proportional to 384,819, 531,040.32 and 215,054.52 is: 296,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,819 : 531,040.32 = 215,054.52 : x
  2. Step 2: Convert to fraction form
    384,819/531,040.32 = 215,054.52/x
  3. Step 3: Cross multiply
    384,819x = 531,040.32 × 215,054.52
  4. Step 4: Simplify right side
    384,819x = 114,202,621,118.25
  5. Step 5: Solve for x
    x = 114,202,621,118.25/384,819
  6. Step 6: Final answer
    x = 296,769.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.