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Finding the Fourth Proportional to 270,680.16, 406,018 and 211,565.52

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Solution

The fourth proportional to 270,680.16, 406,018 and 211,565.52 is: 317,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680.16 : 406,018 = 211,565.52 : x
  2. Step 2: Convert to fraction form
    270,680.16/406,018 = 211,565.52/x
  3. Step 3: Cross multiply
    270,680.16x = 406,018 × 211,565.52
  4. Step 4: Simplify right side
    270,680.16x = 85,899,409,299.36
  5. Step 5: Solve for x
    x = 85,899,409,299.36/270,680.16
  6. Step 6: Final answer
    x = 317,346.53

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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.