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Finding the Fourth Proportional to 409,051.27, 613,609.71 and 142,805.89

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Solution

The fourth proportional to 409,051.27, 613,609.71 and 142,805.89 is: 214,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,051.27 : 613,609.71 = 142,805.89 : x
  2. Step 2: Convert to fraction form
    409,051.27/613,609.71 = 142,805.89/x
  3. Step 3: Cross multiply
    409,051.27x = 613,609.71 × 142,805.89
  4. Step 4: Simplify right side
    409,051.27x = 87,627,080,749.19
  5. Step 5: Solve for x
    x = 87,627,080,749.19/409,051.27
  6. Step 6: Final answer
    x = 214,220.29

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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.