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Finding the Fourth Proportional to 306,738.30, 459,123.30 and 218,164.80

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Solution

The fourth proportional to 306,738.30, 459,123.30 and 218,164.80 is: 326,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,738.30 : 459,123.30 = 218,164.80 : x
  2. Step 2: Convert to fraction form
    306,738.30/459,123.30 = 218,164.80/x
  3. Step 3: Cross multiply
    306,738.30x = 459,123.30 × 218,164.80
  4. Step 4: Simplify right side
    306,738.30x = 100,164,542,919.84
  5. Step 5: Solve for x
    x = 100,164,542,919.84/306,738.30
  6. Step 6: Final answer
    x = 326,547.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.