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Finding the Fourth Proportional to 463,244.64, 639,186.75 and 291,062.85

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Solution

The fourth proportional to 463,244.64, 639,186.75 and 291,062.85 is: 401,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,244.64 : 639,186.75 = 291,062.85 : x
  2. Step 2: Convert to fraction form
    463,244.64/639,186.75 = 291,062.85/x
  3. Step 3: Cross multiply
    463,244.64x = 639,186.75 × 291,062.85
  4. Step 4: Simplify right side
    463,244.64x = 186,043,517,137.24
  5. Step 5: Solve for x
    x = 186,043,517,137.24/463,244.64
  6. Step 6: Final answer
    x = 401,609.65

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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.