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Finding the Fourth Proportional to 405,407.43, 608,125.86 and 139,166.37

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Solution

The fourth proportional to 405,407.43, 608,125.86 and 139,166.37 is: 208,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,407.43 : 608,125.86 = 139,166.37 : x
  2. Step 2: Convert to fraction form
    405,407.43/608,125.86 = 139,166.37/x
  3. Step 3: Cross multiply
    405,407.43x = 608,125.86 × 139,166.37
  4. Step 4: Simplify right side
    405,407.43x = 84,630,668,439.33
  5. Step 5: Solve for x
    x = 84,630,668,439.33/405,407.43
  6. Step 6: Final answer
    x = 208,754.61

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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.