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Finding the Fourth Proportional to 218,797.76, 299,971.84 and 214,812.16

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Solution

The fourth proportional to 218,797.76, 299,971.84 and 214,812.16 is: 294,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,797.76 : 299,971.84 = 214,812.16 : x
  2. Step 2: Convert to fraction form
    218,797.76/299,971.84 = 214,812.16/x
  3. Step 3: Cross multiply
    218,797.76x = 299,971.84 × 214,812.16
  4. Step 4: Simplify right side
    218,797.76x = 64,437,598,889.57
  5. Step 5: Solve for x
    x = 64,437,598,889.57/218,797.76
  6. Step 6: Final answer
    x = 294,507.58

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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.