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Finding the Fourth Proportional to 270,894.60, 406,099.83 and 128,652.12

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Solution

The fourth proportional to 270,894.60, 406,099.83 and 128,652.12 is: 192,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,894.60 : 406,099.83 = 128,652.12 : x
  2. Step 2: Convert to fraction form
    270,894.60/406,099.83 = 128,652.12/x
  3. Step 3: Cross multiply
    270,894.60x = 406,099.83 × 128,652.12
  4. Step 4: Simplify right side
    270,894.60x = 52,245,604,061.14
  5. Step 5: Solve for x
    x = 52,245,604,061.14/270,894.60
  6. Step 6: Final answer
    x = 192,863.22

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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.