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Finding the Fourth Proportional to 218,796.77, 299,970.46 and 214,811.16

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Solution

The fourth proportional to 218,796.77, 299,970.46 and 214,811.16 is: 294,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,796.77 : 299,970.46 = 214,811.16 : x
  2. Step 2: Convert to fraction form
    218,796.77/299,970.46 = 214,811.16/x
  3. Step 3: Cross multiply
    218,796.77x = 299,970.46 × 214,811.16
  4. Step 4: Simplify right side
    218,796.77x = 64,437,002,478.33
  5. Step 5: Solve for x
    x = 64,437,002,478.33/218,796.77
  6. Step 6: Final answer
    x = 294,506.19

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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.