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Finding the Fourth Proportional to 296,486.51, 409,150.79 and 160,520.43

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Solution

The fourth proportional to 296,486.51, 409,150.79 and 160,520.43 is: 221,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,486.51 : 409,150.79 = 160,520.43 : x
  2. Step 2: Convert to fraction form
    296,486.51/409,150.79 = 160,520.43/x
  3. Step 3: Cross multiply
    296,486.51x = 409,150.79 × 160,520.43
  4. Step 4: Simplify right side
    296,486.51x = 65,677,059,943.04
  5. Step 5: Solve for x
    x = 65,677,059,943.04/296,486.51
  6. Step 6: Final answer
    x = 221,517.87

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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.