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Finding the Fourth Proportional to 227,055.40, 340,619.10 and 77,309.80

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Solution

The fourth proportional to 227,055.40, 340,619.10 and 77,309.80 is: 115,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,055.40 : 340,619.10 = 77,309.80 : x
  2. Step 2: Convert to fraction form
    227,055.40/340,619.10 = 77,309.80/x
  3. Step 3: Cross multiply
    227,055.40x = 340,619.10 × 77,309.80
  4. Step 4: Simplify right side
    227,055.40x = 26,333,194,497.18
  5. Step 5: Solve for x
    x = 26,333,194,497.18/227,055.40
  6. Step 6: Final answer
    x = 115,976.96

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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.