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Finding the Fourth Proportional to 428,765.54, 643,245.51 and 148,285.22

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Solution

The fourth proportional to 428,765.54, 643,245.51 and 148,285.22 is: 222,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,765.54 : 643,245.51 = 148,285.22 : x
  2. Step 2: Convert to fraction form
    428,765.54/643,245.51 = 148,285.22/x
  3. Step 3: Cross multiply
    428,765.54x = 643,245.51 × 148,285.22
  4. Step 4: Simplify right side
    428,765.54x = 95,383,801,964.36
  5. Step 5: Solve for x
    x = 95,383,801,964.36/428,765.54
  6. Step 6: Final answer
    x = 222,461.45

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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.