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Finding the Fourth Proportional to 405,338.92, 608,039.43 and 139,097.32

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Solution

The fourth proportional to 405,338.92, 608,039.43 and 139,097.32 is: 208,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,338.92 : 608,039.43 = 139,097.32 : x
  2. Step 2: Convert to fraction form
    405,338.92/608,039.43 = 139,097.32/x
  3. Step 3: Cross multiply
    405,338.92x = 608,039.43 × 139,097.32
  4. Step 4: Simplify right side
    405,338.92x = 84,576,655,167.33
  5. Step 5: Solve for x
    x = 84,576,655,167.33/405,338.92
  6. Step 6: Final answer
    x = 208,656.64

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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.