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Finding the Fourth Proportional to 409,530.96, 613,625.76 and 393,978.96

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Solution

The fourth proportional to 409,530.96, 613,625.76 and 393,978.96 is: 590,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,530.96 : 613,625.76 = 393,978.96 : x
  2. Step 2: Convert to fraction form
    409,530.96/613,625.76 = 393,978.96/x
  3. Step 3: Cross multiply
    409,530.96x = 613,625.76 × 393,978.96
  4. Step 4: Simplify right side
    409,530.96x = 241,755,638,754.01
  5. Step 5: Solve for x
    x = 241,755,638,754.01/409,530.96
  6. Step 6: Final answer
    x = 590,323.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.