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Finding the Fourth Proportional to 405,914.64, 608,691.96 and 216,339.68

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Solution

The fourth proportional to 405,914.64, 608,691.96 and 216,339.68 is: 324,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,914.64 : 608,691.96 = 216,339.68 : x
  2. Step 2: Convert to fraction form
    405,914.64/608,691.96 = 216,339.68/x
  3. Step 3: Cross multiply
    405,914.64x = 608,691.96 × 216,339.68
  4. Step 4: Simplify right side
    405,914.64x = 131,684,220,801.51
  5. Step 5: Solve for x
    x = 131,684,220,801.51/405,914.64
  6. Step 6: Final answer
    x = 324,413.58

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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.