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Finding the Fourth Proportional to 405,468.27, 608,138.55 and 135,594.33

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Solution

The fourth proportional to 405,468.27, 608,138.55 and 135,594.33 is: 203,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,468.27 : 608,138.55 = 135,594.33 : x
  2. Step 2: Convert to fraction form
    405,468.27/608,138.55 = 135,594.33/x
  3. Step 3: Cross multiply
    405,468.27x = 608,138.55 × 135,594.33
  4. Step 4: Simplify right side
    405,468.27x = 82,460,139,234.42
  5. Step 5: Solve for x
    x = 82,460,139,234.42/405,468.27
  6. Step 6: Final answer
    x = 203,370.14

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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.