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Finding the Fourth Proportional to 214,855.76, 320,706.53 and 199,021.88

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Solution

The fourth proportional to 214,855.76, 320,706.53 and 199,021.88 is: 297,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,855.76 : 320,706.53 = 199,021.88 : x
  2. Step 2: Convert to fraction form
    214,855.76/320,706.53 = 199,021.88/x
  3. Step 3: Cross multiply
    214,855.76x = 320,706.53 × 199,021.88
  4. Step 4: Simplify right side
    214,855.76x = 63,827,613,930.23
  5. Step 5: Solve for x
    x = 63,827,613,930.23/214,855.76
  6. Step 6: Final answer
    x = 297,071.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.