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Finding the Fourth Proportional to 296,738.60, 409,479.90 and 189,297.10

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Solution

The fourth proportional to 296,738.60, 409,479.90 and 189,297.10 is: 261,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,738.60 : 409,479.90 = 189,297.10 : x
  2. Step 2: Convert to fraction form
    296,738.60/409,479.90 = 189,297.10/x
  3. Step 3: Cross multiply
    296,738.60x = 409,479.90 × 189,297.10
  4. Step 4: Simplify right side
    296,738.60x = 77,513,357,578.29
  5. Step 5: Solve for x
    x = 77,513,357,578.29/296,738.60
  6. Step 6: Final answer
    x = 261,217.64

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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.