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Finding the Fourth Proportional to 393,638.36, 590,312.44 and 140,850.32

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Solution

The fourth proportional to 393,638.36, 590,312.44 and 140,850.32 is: 211,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,638.36 : 590,312.44 = 140,850.32 : x
  2. Step 2: Convert to fraction form
    393,638.36/590,312.44 = 140,850.32/x
  3. Step 3: Cross multiply
    393,638.36x = 590,312.44 × 140,850.32
  4. Step 4: Simplify right side
    393,638.36x = 83,145,696,073.98
  5. Step 5: Solve for x
    x = 83,145,696,073.98/393,638.36
  6. Step 6: Final answer
    x = 211,223.56

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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.