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Finding the Fourth Proportional to 405,194.75, 607,815.90 and 152,477.39

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Solution

The fourth proportional to 405,194.75, 607,815.90 and 152,477.39 is: 228,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,194.75 : 607,815.90 = 152,477.39 : x
  2. Step 2: Convert to fraction form
    405,194.75/607,815.90 = 152,477.39/x
  3. Step 3: Cross multiply
    405,194.75x = 607,815.90 × 152,477.39
  4. Step 4: Simplify right side
    405,194.75x = 92,678,178,231.03
  5. Step 5: Solve for x
    x = 92,678,178,231.03/405,194.75
  6. Step 6: Final answer
    x = 228,725.03

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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.