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Finding the Fourth Proportional to 306,439.94, 459,658.38 and 78,735.35

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Solution

The fourth proportional to 306,439.94, 459,658.38 and 78,735.35 is: 118,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,439.94 : 459,658.38 = 78,735.35 : x
  2. Step 2: Convert to fraction form
    306,439.94/459,658.38 = 78,735.35/x
  3. Step 3: Cross multiply
    306,439.94x = 459,658.38 × 78,735.35
  4. Step 4: Simplify right side
    306,439.94x = 36,191,363,429.73
  5. Step 5: Solve for x
    x = 36,191,363,429.73/306,439.94
  6. Step 6: Final answer
    x = 118,102.63

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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.