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Finding the Fourth Proportional to 381,083.71, 525,435.77 and 329,308.31

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Solution

The fourth proportional to 381,083.71, 525,435.77 and 329,308.31 is: 454,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,083.71 : 525,435.77 = 329,308.31 : x
  2. Step 2: Convert to fraction form
    381,083.71/525,435.77 = 329,308.31/x
  3. Step 3: Cross multiply
    381,083.71x = 525,435.77 × 329,308.31
  4. Step 4: Simplify right side
    381,083.71x = 173,030,363,628.34
  5. Step 5: Solve for x
    x = 173,030,363,628.34/381,083.71
  6. Step 6: Final answer
    x = 454,048.18

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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.