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Finding the Fourth Proportional to 428,944.50, 643,460.49 and 148,460.94

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Solution

The fourth proportional to 428,944.50, 643,460.49 and 148,460.94 is: 222,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,944.50 : 643,460.49 = 148,460.94 : x
  2. Step 2: Convert to fraction form
    428,944.50/643,460.49 = 148,460.94/x
  3. Step 3: Cross multiply
    428,944.50x = 643,460.49 × 148,460.94
  4. Step 4: Simplify right side
    428,944.50x = 95,528,749,198.26
  5. Step 5: Solve for x
    x = 95,528,749,198.26/428,944.50
  6. Step 6: Final answer
    x = 222,706.55

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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.