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Finding the Fourth Proportional to 296,390, 409,018.20 and 162,254

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Solution

The fourth proportional to 296,390, 409,018.20 and 162,254 is: 223,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,390 : 409,018.20 = 162,254 : x
  2. Step 2: Convert to fraction form
    296,390/409,018.20 = 162,254/x
  3. Step 3: Cross multiply
    296,390x = 409,018.20 × 162,254
  4. Step 4: Simplify right side
    296,390x = 66,364,839,022.80
  5. Step 5: Solve for x
    x = 66,364,839,022.80/296,390
  6. Step 6: Final answer
    x = 223,910.52

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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.