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Finding the Fourth Proportional to 218,709.64, 299,850.89 and 214,723.84

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Solution

The fourth proportional to 218,709.64, 299,850.89 and 214,723.84 is: 294,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.64 : 299,850.89 = 214,723.84 : x
  2. Step 2: Convert to fraction form
    218,709.64/299,850.89 = 214,723.84/x
  3. Step 3: Cross multiply
    218,709.64x = 299,850.89 × 214,723.84
  4. Step 4: Simplify right side
    218,709.64x = 64,385,131,955.34
  5. Step 5: Solve for x
    x = 64,385,131,955.34/218,709.64
  6. Step 6: Final answer
    x = 294,386.35

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1.5x scale

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.