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Finding the Fourth Proportional to 405,195.60, 607,793.40 and 138,920.40

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Solution

The fourth proportional to 405,195.60, 607,793.40 and 138,920.40 is: 208,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,195.60 : 607,793.40 = 138,920.40 : x
  2. Step 2: Convert to fraction form
    405,195.60/607,793.40 = 138,920.40/x
  3. Step 3: Cross multiply
    405,195.60x = 607,793.40 × 138,920.40
  4. Step 4: Simplify right side
    405,195.60x = 84,434,902,245.36
  5. Step 5: Solve for x
    x = 84,434,902,245.36/405,195.60
  6. Step 6: Final answer
    x = 208,380.60

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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.