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Finding the Fourth Proportional to 286,412.85, 430,078.28 and 227,736.45

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Solution

The fourth proportional to 286,412.85, 430,078.28 and 227,736.45 is: 341,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,412.85 : 430,078.28 = 227,736.45 : x
  2. Step 2: Convert to fraction form
    286,412.85/430,078.28 = 227,736.45/x
  3. Step 3: Cross multiply
    286,412.85x = 430,078.28 × 227,736.45
  4. Step 4: Simplify right side
    286,412.85x = 97,944,499,570.62
  5. Step 5: Solve for x
    x = 97,944,499,570.62/286,412.85
  6. Step 6: Final answer
    x = 341,969.64

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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.