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Finding the Fourth Proportional to 308,800.80, 463,201.20 and 305,848.35

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Solution

The fourth proportional to 308,800.80, 463,201.20 and 305,848.35 is: 458,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,800.80 : 463,201.20 = 305,848.35 : x
  2. Step 2: Convert to fraction form
    308,800.80/463,201.20 = 305,848.35/x
  3. Step 3: Cross multiply
    308,800.80x = 463,201.20 × 305,848.35
  4. Step 4: Simplify right side
    308,800.80x = 141,669,322,738.02
  5. Step 5: Solve for x
    x = 141,669,322,738.02/308,800.80
  6. Step 6: Final answer
    x = 458,772.53

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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.