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Finding the Fourth Proportional to 315,333.72, 434,398.44 and 269,865.96

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Solution

The fourth proportional to 315,333.72, 434,398.44 and 269,865.96 is: 371,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,333.72 : 434,398.44 = 269,865.96 : x
  2. Step 2: Convert to fraction form
    315,333.72/434,398.44 = 269,865.96/x
  3. Step 3: Cross multiply
    315,333.72x = 434,398.44 × 269,865.96
  4. Step 4: Simplify right side
    315,333.72x = 117,229,352,033.10
  5. Step 5: Solve for x
    x = 117,229,352,033.10/315,333.72
  6. Step 6: Final answer
    x = 371,762.82

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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.