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Finding the Fourth Proportional to 255,911.20, 353,086.59 and 165,270.98

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Solution

The fourth proportional to 255,911.20, 353,086.59 and 165,270.98 is: 228,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,911.20 : 353,086.59 = 165,270.98 : x
  2. Step 2: Convert to fraction form
    255,911.20/353,086.59 = 165,270.98/x
  3. Step 3: Cross multiply
    255,911.20x = 353,086.59 × 165,270.98
  4. Step 4: Simplify right side
    255,911.20x = 58,354,968,256.64
  5. Step 5: Solve for x
    x = 58,354,968,256.64/255,911.20
  6. Step 6: Final answer
    x = 228,028.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.