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Finding the Fourth Proportional to 405,904.20, 608,942.70 and 125,449.80

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Solution

The fourth proportional to 405,904.20, 608,942.70 and 125,449.80 is: 188,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,904.20 : 608,942.70 = 125,449.80 : x
  2. Step 2: Convert to fraction form
    405,904.20/608,942.70 = 125,449.80/x
  3. Step 3: Cross multiply
    405,904.20x = 608,942.70 × 125,449.80
  4. Step 4: Simplify right side
    405,904.20x = 76,391,739,926.46
  5. Step 5: Solve for x
    x = 76,391,739,926.46/405,904.20
  6. Step 6: Final answer
    x = 188,201.40

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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.