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Finding the Fourth Proportional to 218,798.52, 299,972.86 and 214,812.91

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Solution

The fourth proportional to 218,798.52, 299,972.86 and 214,812.91 is: 294,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,798.52 : 299,972.86 = 214,812.91 : x
  2. Step 2: Convert to fraction form
    218,798.52/299,972.86 = 214,812.91/x
  3. Step 3: Cross multiply
    218,798.52x = 299,972.86 × 214,812.91
  4. Step 4: Simplify right side
    218,798.52x = 64,438,042,977.62
  5. Step 5: Solve for x
    x = 64,438,042,977.62/218,798.52
  6. Step 6: Final answer
    x = 294,508.59

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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.