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Finding the Fourth Proportional to 463,464, 639,580.32 and 251,496

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Solution

The fourth proportional to 463,464, 639,580.32 and 251,496 is: 347,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,464 : 639,580.32 = 251,496 : x
  2. Step 2: Convert to fraction form
    463,464/639,580.32 = 251,496/x
  3. Step 3: Cross multiply
    463,464x = 639,580.32 × 251,496
  4. Step 4: Simplify right side
    463,464x = 160,851,892,158.72
  5. Step 5: Solve for x
    x = 160,851,892,158.72/463,464
  6. Step 6: Final answer
    x = 347,064.48

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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.