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Finding the Fourth Proportional to 320,334, 441,515.05 and 293,184.72

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Solution

The fourth proportional to 320,334, 441,515.05 and 293,184.72 is: 404,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,334 : 441,515.05 = 293,184.72 : x
  2. Step 2: Convert to fraction form
    320,334/441,515.05 = 293,184.72/x
  3. Step 3: Cross multiply
    320,334x = 441,515.05 × 293,184.72
  4. Step 4: Simplify right side
    320,334x = 129,445,466,310.04
  5. Step 5: Solve for x
    x = 129,445,466,310.04/320,334
  6. Step 6: Final answer
    x = 404,095.31

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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.