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Finding the Fourth Proportional to 301,260.96, 415,744.56 and 165,308.40

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Solution

The fourth proportional to 301,260.96, 415,744.56 and 165,308.40 is: 228,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,260.96 : 415,744.56 = 165,308.40 : x
  2. Step 2: Convert to fraction form
    301,260.96/415,744.56 = 165,308.40/x
  3. Step 3: Cross multiply
    301,260.96x = 415,744.56 × 165,308.40
  4. Step 4: Simplify right side
    301,260.96x = 68,726,068,022.30
  5. Step 5: Solve for x
    x = 68,726,068,022.30/301,260.96
  6. Step 6: Final answer
    x = 228,128.03

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1.5x scale

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.