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Finding the Fourth Proportional to 306,238.56, 459,356.82 and 78,533.94

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Solution

The fourth proportional to 306,238.56, 459,356.82 and 78,533.94 is: 117,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,238.56 : 459,356.82 = 78,533.94 : x
  2. Step 2: Convert to fraction form
    306,238.56/459,356.82 = 78,533.94/x
  3. Step 3: Cross multiply
    306,238.56x = 459,356.82 × 78,533.94
  4. Step 4: Simplify right side
    306,238.56x = 36,075,100,940.47
  5. Step 5: Solve for x
    x = 36,075,100,940.47/306,238.56
  6. Step 6: Final answer
    x = 117,800.65

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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.