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Finding the Fourth Proportional to 405,021.20, 607,531.80 and 340,067.30

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Solution

The fourth proportional to 405,021.20, 607,531.80 and 340,067.30 is: 510,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,021.20 : 607,531.80 = 340,067.30 : x
  2. Step 2: Convert to fraction form
    405,021.20/607,531.80 = 340,067.30/x
  3. Step 3: Cross multiply
    405,021.20x = 607,531.80 × 340,067.30
  4. Step 4: Simplify right side
    405,021.20x = 206,601,698,890.14
  5. Step 5: Solve for x
    x = 206,601,698,890.14/405,021.20
  6. Step 6: Final answer
    x = 510,100.95

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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.