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Finding the Fourth Proportional to 357,409.09, 493,205.21 and 196,285.33

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Solution

The fourth proportional to 357,409.09, 493,205.21 and 196,285.33 is: 270,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,409.09 : 493,205.21 = 196,285.33 : x
  2. Step 2: Convert to fraction form
    357,409.09/493,205.21 = 196,285.33/x
  3. Step 3: Cross multiply
    357,409.09x = 493,205.21 × 196,285.33
  4. Step 4: Simplify right side
    357,409.09x = 96,808,946,421.14
  5. Step 5: Solve for x
    x = 96,808,946,421.14/357,409.09
  6. Step 6: Final answer
    x = 270,863.13

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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.