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Finding the Fourth Proportional to 323,913.36, 446,804.46 and 209,012.16

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Solution

The fourth proportional to 323,913.36, 446,804.46 and 209,012.16 is: 288,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,913.36 : 446,804.46 = 209,012.16 : x
  2. Step 2: Convert to fraction form
    323,913.36/446,804.46 = 209,012.16/x
  3. Step 3: Cross multiply
    323,913.36x = 446,804.46 × 209,012.16
  4. Step 4: Simplify right side
    323,913.36x = 93,387,565,282.23
  5. Step 5: Solve for x
    x = 93,387,565,282.23/323,913.36
  6. Step 6: Final answer
    x = 288,310.32

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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.