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Finding the Fourth Proportional to 273,802.09, 410,742.06 and 84,278.26

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Solution

The fourth proportional to 273,802.09, 410,742.06 and 84,278.26 is: 126,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,802.09 : 410,742.06 = 84,278.26 : x
  2. Step 2: Convert to fraction form
    273,802.09/410,742.06 = 84,278.26/x
  3. Step 3: Cross multiply
    273,802.09x = 410,742.06 × 84,278.26
  4. Step 4: Simplify right side
    273,802.09x = 34,616,626,125.62
  5. Step 5: Solve for x
    x = 34,616,626,125.62/273,802.09
  6. Step 6: Final answer
    x = 126,429.37

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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.