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Finding the Fourth Proportional to 306,771.84, 460,178.78 and 104,285.54

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Solution

The fourth proportional to 306,771.84, 460,178.78 and 104,285.54 is: 156,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,771.84 : 460,178.78 = 104,285.54 : x
  2. Step 2: Convert to fraction form
    306,771.84/460,178.78 = 104,285.54/x
  3. Step 3: Cross multiply
    306,771.84x = 460,178.78 × 104,285.54
  4. Step 4: Simplify right side
    306,771.84x = 47,989,993,197.86
  5. Step 5: Solve for x
    x = 47,989,993,197.86/306,771.84
  6. Step 6: Final answer
    x = 156,435.46

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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.