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Finding the Fourth Proportional to 301,352.76, 415,852.92 and 165,383.28

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Solution

The fourth proportional to 301,352.76, 415,852.92 and 165,383.28 is: 228,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,352.76 : 415,852.92 = 165,383.28 : x
  2. Step 2: Convert to fraction form
    301,352.76/415,852.92 = 165,383.28/x
  3. Step 3: Cross multiply
    301,352.76x = 415,852.92 × 165,383.28
  4. Step 4: Simplify right side
    301,352.76x = 68,775,119,907.18
  5. Step 5: Solve for x
    x = 68,775,119,907.18/301,352.76
  6. Step 6: Final answer
    x = 228,221.30

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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.