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Finding the Fourth Proportional to 270,680.99, 406,019.66 and 211,566.38

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Solution

The fourth proportional to 270,680.99, 406,019.66 and 211,566.38 is: 317,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680.99 : 406,019.66 = 211,566.38 : x
  2. Step 2: Convert to fraction form
    270,680.99/406,019.66 = 211,566.38/x
  3. Step 3: Cross multiply
    270,680.99x = 406,019.66 × 211,566.38
  4. Step 4: Simplify right side
    270,680.99x = 85,900,106,587.10
  5. Step 5: Solve for x
    x = 85,900,106,587.10/270,680.99
  6. Step 6: Final answer
    x = 317,348.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.