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Finding the Fourth Proportional to 270,462.02, 405,334.67 and 143,829.59

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Solution

The fourth proportional to 270,462.02, 405,334.67 and 143,829.59 is: 215,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,462.02 : 405,334.67 = 143,829.59 : x
  2. Step 2: Convert to fraction form
    270,462.02/405,334.67 = 143,829.59/x
  3. Step 3: Cross multiply
    270,462.02x = 405,334.67 × 143,829.59
  4. Step 4: Simplify right side
    270,462.02x = 58,299,116,653.06
  5. Step 5: Solve for x
    x = 58,299,116,653.06/270,462.02
  6. Step 6: Final answer
    x = 215,553.81

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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.