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Finding the Fourth Proportional to 270,703.31, 405,914.80 and 144,309.60

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Solution

The fourth proportional to 270,703.31, 405,914.80 and 144,309.60 is: 216,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,703.31 : 405,914.80 = 144,309.60 : x
  2. Step 2: Convert to fraction form
    270,703.31/405,914.80 = 144,309.60/x
  3. Step 3: Cross multiply
    270,703.31x = 405,914.80 × 144,309.60
  4. Step 4: Simplify right side
    270,703.31x = 58,577,404,174.30
  5. Step 5: Solve for x
    x = 58,577,404,174.30/270,703.31
  6. Step 6: Final answer
    x = 216,389.69

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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.