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Finding the Fourth Proportional to 218,708.64, 299,849.51 and 214,722.83

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Solution

The fourth proportional to 218,708.64, 299,849.51 and 214,722.83 is: 294,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,708.64 : 299,849.51 = 214,722.83 : x
  2. Step 2: Convert to fraction form
    218,708.64/299,849.51 = 214,722.83/x
  3. Step 3: Cross multiply
    218,708.64x = 299,849.51 × 214,722.83
  4. Step 4: Simplify right side
    218,708.64x = 64,384,536,647.74
  5. Step 5: Solve for x
    x = 64,384,536,647.74/218,708.64
  6. Step 6: Final answer
    x = 294,384.97

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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.