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Finding the Fourth Proportional to 312,774.89, 469,090.38 and 186,450.80

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Solution

The fourth proportional to 312,774.89, 469,090.38 and 186,450.80 is: 279,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,774.89 : 469,090.38 = 186,450.80 : x
  2. Step 2: Convert to fraction form
    312,774.89/469,090.38 = 186,450.80/x
  3. Step 3: Cross multiply
    312,774.89x = 469,090.38 × 186,450.80
  4. Step 4: Simplify right side
    312,774.89x = 87,462,276,623.30
  5. Step 5: Solve for x
    x = 87,462,276,623.30/312,774.89
  6. Step 6: Final answer
    x = 279,633.31

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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.