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Finding the Fourth Proportional to 306,238.06, 459,356.06 and 78,533.42

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Solution

The fourth proportional to 306,238.06, 459,356.06 and 78,533.42 is: 117,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,238.06 : 459,356.06 = 78,533.42 : x
  2. Step 2: Convert to fraction form
    306,238.06/459,356.06 = 78,533.42/x
  3. Step 3: Cross multiply
    306,238.06x = 459,356.06 × 78,533.42
  4. Step 4: Simplify right side
    306,238.06x = 36,074,802,389.53
  5. Step 5: Solve for x
    x = 36,074,802,389.53/306,238.06
  6. Step 6: Final answer
    x = 117,799.87

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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.