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Finding the Fourth Proportional to 428,946, 643,462.74 and 148,462.44

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Solution

The fourth proportional to 428,946, 643,462.74 and 148,462.44 is: 222,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,946 : 643,462.74 = 148,462.44 : x
  2. Step 2: Convert to fraction form
    428,946/643,462.74 = 148,462.44/x
  3. Step 3: Cross multiply
    428,946x = 643,462.74 × 148,462.44
  4. Step 4: Simplify right side
    428,946x = 95,530,048,429.49
  5. Step 5: Solve for x
    x = 95,530,048,429.49/428,946
  6. Step 6: Final answer
    x = 222,708.80

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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.