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Finding the Fourth Proportional to 355,409.31, 490,465.80 and 212,166.27

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Solution

The fourth proportional to 355,409.31, 490,465.80 and 212,166.27 is: 292,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,409.31 : 490,465.80 = 212,166.27 : x
  2. Step 2: Convert to fraction form
    355,409.31/490,465.80 = 212,166.27/x
  3. Step 3: Cross multiply
    355,409.31x = 490,465.80 × 212,166.27
  4. Step 4: Simplify right side
    355,409.31x = 104,060,299,348.57
  5. Step 5: Solve for x
    x = 104,060,299,348.57/355,409.31
  6. Step 6: Final answer
    x = 292,790.02

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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.