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Finding the Fourth Proportional to 405,286.48, 607,942 and 139,043.14

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Solution

The fourth proportional to 405,286.48, 607,942 and 139,043.14 is: 208,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,286.48 : 607,942 = 139,043.14 : x
  2. Step 2: Convert to fraction form
    405,286.48/607,942 = 139,043.14/x
  3. Step 3: Cross multiply
    405,286.48x = 607,942 × 139,043.14
  4. Step 4: Simplify right side
    405,286.48x = 84,530,164,617.88
  5. Step 5: Solve for x
    x = 84,530,164,617.88/405,286.48
  6. Step 6: Final answer
    x = 208,568.92

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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.