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Finding the Fourth Proportional to 301,311.60, 415,808.88 and 165,347.84

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Solution

The fourth proportional to 301,311.60, 415,808.88 and 165,347.84 is: 228,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,311.60 : 415,808.88 = 165,347.84 : x
  2. Step 2: Convert to fraction form
    301,311.60/415,808.88 = 165,347.84/x
  3. Step 3: Cross multiply
    301,311.60x = 415,808.88 × 165,347.84
  4. Step 4: Simplify right side
    301,311.60x = 68,753,100,160.82
  5. Step 5: Solve for x
    x = 68,753,100,160.82/301,311.60
  6. Step 6: Final answer
    x = 228,179.40

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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.