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Finding the Fourth Proportional to 296,396, 409,026.50 and 162,260

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Solution

The fourth proportional to 296,396, 409,026.50 and 162,260 is: 223,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,396 : 409,026.50 = 162,260 : x
  2. Step 2: Convert to fraction form
    296,396/409,026.50 = 162,260/x
  3. Step 3: Cross multiply
    296,396x = 409,026.50 × 162,260
  4. Step 4: Simplify right side
    296,396x = 66,368,639,890
  5. Step 5: Solve for x
    x = 66,368,639,890/296,396
  6. Step 6: Final answer
    x = 223,918.81

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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.