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Finding the Fourth Proportional to 323,148, 445,978.80 and 189,124.32

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Solution

The fourth proportional to 323,148, 445,978.80 and 189,124.32 is: 261,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,148 : 445,978.80 = 189,124.32 : x
  2. Step 2: Convert to fraction form
    323,148/445,978.80 = 189,124.32/x
  3. Step 3: Cross multiply
    323,148x = 445,978.80 × 189,124.32
  4. Step 4: Simplify right side
    323,148x = 84,345,437,284.42
  5. Step 5: Solve for x
    x = 84,345,437,284.42/323,148
  6. Step 6: Final answer
    x = 261,011.79

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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.