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Finding the Fourth Proportional to 306,074.70, 459,112.05 and 106,328.70

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Solution

The fourth proportional to 306,074.70, 459,112.05 and 106,328.70 is: 159,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,074.70 : 459,112.05 = 106,328.70 : x
  2. Step 2: Convert to fraction form
    306,074.70/459,112.05 = 106,328.70/x
  3. Step 3: Cross multiply
    306,074.70x = 459,112.05 × 106,328.70
  4. Step 4: Simplify right side
    306,074.70x = 48,816,787,430.84
  5. Step 5: Solve for x
    x = 48,816,787,430.84/306,074.70
  6. Step 6: Final answer
    x = 159,493.05

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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.