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Finding the Fourth Proportional to 218,795.77, 299,969.09 and 214,810.16

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Solution

The fourth proportional to 218,795.77, 299,969.09 and 214,810.16 is: 294,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,795.77 : 299,969.09 = 214,810.16 : x
  2. Step 2: Convert to fraction form
    218,795.77/299,969.09 = 214,810.16/x
  3. Step 3: Cross multiply
    218,795.77x = 299,969.09 × 214,810.16
  4. Step 4: Simplify right side
    218,795.77x = 64,436,408,217.95
  5. Step 5: Solve for x
    x = 64,436,408,217.95/218,795.77
  6. Step 6: Final answer
    x = 294,504.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.