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Finding the Fourth Proportional to 357,345.57, 493,137.87 and 196,211.07

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Solution

The fourth proportional to 357,345.57, 493,137.87 and 196,211.07 is: 270,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,345.57 : 493,137.87 = 196,211.07 : x
  2. Step 2: Convert to fraction form
    357,345.57/493,137.87 = 196,211.07/x
  3. Step 3: Cross multiply
    357,345.57x = 493,137.87 × 196,211.07
  4. Step 4: Simplify right side
    357,345.57x = 96,759,109,130.22
  5. Step 5: Solve for x
    x = 96,759,109,130.22/357,345.57
  6. Step 6: Final answer
    x = 270,771.82

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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.