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Finding the Fourth Proportional to 306,437.94, 459,655.38 and 78,733.35

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Solution

The fourth proportional to 306,437.94, 459,655.38 and 78,733.35 is: 118,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,437.94 : 459,655.38 = 78,733.35 : x
  2. Step 2: Convert to fraction form
    306,437.94/459,655.38 = 78,733.35/x
  3. Step 3: Cross multiply
    306,437.94x = 459,655.38 × 78,733.35
  4. Step 4: Simplify right side
    306,437.94x = 36,190,207,912.92
  5. Step 5: Solve for x
    x = 36,190,207,912.92/306,437.94
  6. Step 6: Final answer
    x = 118,099.63

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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.