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Finding the Fourth Proportional to 296,392, 409,020.96 and 162,256

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Solution

The fourth proportional to 296,392, 409,020.96 and 162,256 is: 223,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,392 : 409,020.96 = 162,256 : x
  2. Step 2: Convert to fraction form
    296,392/409,020.96 = 162,256/x
  3. Step 3: Cross multiply
    296,392x = 409,020.96 × 162,256
  4. Step 4: Simplify right side
    296,392x = 66,366,104,885.76
  5. Step 5: Solve for x
    x = 66,366,104,885.76/296,392
  6. Step 6: Final answer
    x = 223,913.28

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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.