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Finding the Fourth Proportional to 468,807.60, 646,794 and 305,388.48

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Solution

The fourth proportional to 468,807.60, 646,794 and 305,388.48 is: 421,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,807.60 : 646,794 = 305,388.48 : x
  2. Step 2: Convert to fraction form
    468,807.60/646,794 = 305,388.48/x
  3. Step 3: Cross multiply
    468,807.60x = 646,794 × 305,388.48
  4. Step 4: Simplify right side
    468,807.60x = 197,523,436,533.12
  5. Step 5: Solve for x
    x = 197,523,436,533.12/468,807.60
  6. Step 6: Final answer
    x = 421,331.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.