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Finding the Fourth Proportional to 270,980.16, 406,515.87 and 100,211.91

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Solution

The fourth proportional to 270,980.16, 406,515.87 and 100,211.91 is: 150,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,980.16 : 406,515.87 = 100,211.91 : x
  2. Step 2: Convert to fraction form
    270,980.16/406,515.87 = 100,211.91/x
  3. Step 3: Cross multiply
    270,980.16x = 406,515.87 × 100,211.91
  4. Step 4: Simplify right side
    270,980.16x = 40,737,731,778.01
  5. Step 5: Solve for x
    x = 40,737,731,778.01/270,980.16
  6. Step 6: Final answer
    x = 150,334.74

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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.