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Finding the Fourth Proportional to 323,460, 446,374.80 and 189,324

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Solution

The fourth proportional to 323,460, 446,374.80 and 189,324 is: 261,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,460 : 446,374.80 = 189,324 : x
  2. Step 2: Convert to fraction form
    323,460/446,374.80 = 189,324/x
  3. Step 3: Cross multiply
    323,460x = 446,374.80 × 189,324
  4. Step 4: Simplify right side
    323,460x = 84,509,462,635.20
  5. Step 5: Solve for x
    x = 84,509,462,635.20/323,460
  6. Step 6: Final answer
    x = 261,267.12

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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.