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Finding the Fourth Proportional to 357,137.84, 492,853.95 and 196,003.28

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Solution

The fourth proportional to 357,137.84, 492,853.95 and 196,003.28 is: 270,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,137.84 : 492,853.95 = 196,003.28 : x
  2. Step 2: Convert to fraction form
    357,137.84/492,853.95 = 196,003.28/x
  3. Step 3: Cross multiply
    357,137.84x = 492,853.95 × 196,003.28
  4. Step 4: Simplify right side
    357,137.84x = 96,600,990,760.96
  5. Step 5: Solve for x
    x = 96,600,990,760.96/357,137.84
  6. Step 6: Final answer
    x = 270,486.57

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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.