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Finding the Fourth Proportional to 405,392.82, 608,188.34 and 285,683.28

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Solution

The fourth proportional to 405,392.82, 608,188.34 and 285,683.28 is: 428,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,392.82 : 608,188.34 = 285,683.28 : x
  2. Step 2: Convert to fraction form
    405,392.82/608,188.34 = 285,683.28/x
  3. Step 3: Cross multiply
    405,392.82x = 608,188.34 × 285,683.28
  4. Step 4: Simplify right side
    405,392.82x = 173,749,239,828.96
  5. Step 5: Solve for x
    x = 173,749,239,828.96/405,392.82
  6. Step 6: Final answer
    x = 428,594.76

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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.