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Finding the Fourth Proportional to 405,578.86, 608,409.60 and 139,304.86

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Solution

The fourth proportional to 405,578.86, 608,409.60 and 139,304.86 is: 208,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,578.86 : 608,409.60 = 139,304.86 : x
  2. Step 2: Convert to fraction form
    405,578.86/608,409.60 = 139,304.86/x
  3. Step 3: Cross multiply
    405,578.86x = 608,409.60 × 139,304.86
  4. Step 4: Simplify right side
    405,578.86x = 84,754,414,150.66
  5. Step 5: Solve for x
    x = 84,754,414,150.66/405,578.86
  6. Step 6: Final answer
    x = 208,971.48

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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.