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Finding the Fourth Proportional to 286,313.78, 428,615.31 and 173,652.50

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Solution

The fourth proportional to 286,313.78, 428,615.31 and 173,652.50 is: 259,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,313.78 : 428,615.31 = 173,652.50 : x
  2. Step 2: Convert to fraction form
    286,313.78/428,615.31 = 173,652.50/x
  3. Step 3: Cross multiply
    286,313.78x = 428,615.31 × 173,652.50
  4. Step 4: Simplify right side
    286,313.78x = 74,430,120,119.78
  5. Step 5: Solve for x
    x = 74,430,120,119.78/286,313.78
  6. Step 6: Final answer
    x = 259,959.96

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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.