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Finding the Fourth Proportional to 463,968.08, 640,584.48 and 356,345.84

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Solution

The fourth proportional to 463,968.08, 640,584.48 and 356,345.84 is: 491,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,968.08 : 640,584.48 = 356,345.84 : x
  2. Step 2: Convert to fraction form
    463,968.08/640,584.48 = 356,345.84/x
  3. Step 3: Cross multiply
    463,968.08x = 640,584.48 × 356,345.84
  4. Step 4: Simplify right side
    463,968.08x = 228,269,614,616.56
  5. Step 5: Solve for x
    x = 228,269,614,616.56/463,968.08
  6. Step 6: Final answer
    x = 491,994.22

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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.