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Finding the Fourth Proportional to 421,158, 631,846.44 and 125,670

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Solution

The fourth proportional to 421,158, 631,846.44 and 125,670 is: 188,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,158 : 631,846.44 = 125,670 : x
  2. Step 2: Convert to fraction form
    421,158/631,846.44 = 125,670/x
  3. Step 3: Cross multiply
    421,158x = 631,846.44 × 125,670
  4. Step 4: Simplify right side
    421,158x = 79,404,142,114.80
  5. Step 5: Solve for x
    x = 79,404,142,114.80/421,158
  6. Step 6: Final answer
    x = 188,537.66

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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.