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Finding the Fourth Proportional to 257,902.89, 355,907.24 and 161,162.92

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Solution

The fourth proportional to 257,902.89, 355,907.24 and 161,162.92 is: 222,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,902.89 : 355,907.24 = 161,162.92 : x
  2. Step 2: Convert to fraction form
    257,902.89/355,907.24 = 161,162.92/x
  3. Step 3: Cross multiply
    257,902.89x = 355,907.24 × 161,162.92
  4. Step 4: Simplify right side
    257,902.89x = 57,359,050,047.54
  5. Step 5: Solve for x
    x = 57,359,050,047.54/257,902.89
  6. Step 6: Final answer
    x = 222,405.61

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1.5x scale

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.