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Finding the Fourth Proportional to 312,927.22, 469,427.49 and 99,620.41

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Solution

The fourth proportional to 312,927.22, 469,427.49 and 99,620.41 is: 149,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,927.22 : 469,427.49 = 99,620.41 : x
  2. Step 2: Convert to fraction form
    312,927.22/469,427.49 = 99,620.41/x
  3. Step 3: Cross multiply
    312,927.22x = 469,427.49 × 99,620.41
  4. Step 4: Simplify right side
    312,927.22x = 46,764,559,019.07
  5. Step 5: Solve for x
    x = 46,764,559,019.07/312,927.22
  6. Step 6: Final answer
    x = 149,442.29

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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.