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Finding the Fourth Proportional to 306,770.20, 459,881.70 and 119,738.20

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Solution

The fourth proportional to 306,770.20, 459,881.70 and 119,738.20 is: 179,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,770.20 : 459,881.70 = 119,738.20 : x
  2. Step 2: Convert to fraction form
    306,770.20/459,881.70 = 119,738.20/x
  3. Step 3: Cross multiply
    306,770.20x = 459,881.70 × 119,738.20
  4. Step 4: Simplify right side
    306,770.20x = 55,065,406,970.94
  5. Step 5: Solve for x
    x = 55,065,406,970.94/306,770.20
  6. Step 6: Final answer
    x = 179,500.51

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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.