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Finding the Fourth Proportional to 294,495.36, 405,918.24 and 208,343.04

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Solution

The fourth proportional to 294,495.36, 405,918.24 and 208,343.04 is: 287,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,495.36 : 405,918.24 = 208,343.04 : x
  2. Step 2: Convert to fraction form
    294,495.36/405,918.24 = 208,343.04/x
  3. Step 3: Cross multiply
    294,495.36x = 405,918.24 × 208,343.04
  4. Step 4: Simplify right side
    294,495.36x = 84,570,240,113.05
  5. Step 5: Solve for x
    x = 84,570,240,113.05/294,495.36
  6. Step 6: Final answer
    x = 287,170.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.