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Finding the Fourth Proportional to 270,412.98, 405,447.75 and 143,975.22

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Solution

The fourth proportional to 270,412.98, 405,447.75 and 143,975.22 is: 215,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,412.98 : 405,447.75 = 143,975.22 : x
  2. Step 2: Convert to fraction form
    270,412.98/405,447.75 = 143,975.22/x
  3. Step 3: Cross multiply
    270,412.98x = 405,447.75 × 143,975.22
  4. Step 4: Simplify right side
    270,412.98x = 58,374,429,004.76
  5. Step 5: Solve for x
    x = 58,374,429,004.76/270,412.98
  6. Step 6: Final answer
    x = 215,871.40

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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.