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Finding the Fourth Proportional to 255,941.28, 353,128.08 and 165,301.12

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Solution

The fourth proportional to 255,941.28, 353,128.08 and 165,301.12 is: 228,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,941.28 : 353,128.08 = 165,301.12 : x
  2. Step 2: Convert to fraction form
    255,941.28/353,128.08 = 165,301.12/x
  3. Step 3: Cross multiply
    255,941.28x = 353,128.08 × 165,301.12
  4. Step 4: Simplify right side
    255,941.28x = 58,372,467,127.45
  5. Step 5: Solve for x
    x = 58,372,467,127.45/255,941.28
  6. Step 6: Final answer
    x = 228,069.76

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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.