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Finding the Fourth Proportional to 624,224.88, 861,199.90 and 409,656.49

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Solution

The fourth proportional to 624,224.88, 861,199.90 and 409,656.49 is: 565,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,224.88 : 861,199.90 = 409,656.49 : x
  2. Step 2: Convert to fraction form
    624,224.88/861,199.90 = 409,656.49/x
  3. Step 3: Cross multiply
    624,224.88x = 861,199.90 × 409,656.49
  4. Step 4: Simplify right side
    624,224.88x = 352,796,125,045.21
  5. Step 5: Solve for x
    x = 352,796,125,045.21/624,224.88
  6. Step 6: Final answer
    x = 565,174.73

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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.