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Finding the Fourth Proportional to 301,311.12, 415,808.20 and 165,347.32

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Solution

The fourth proportional to 301,311.12, 415,808.20 and 165,347.32 is: 228,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,311.12 : 415,808.20 = 165,347.32 : x
  2. Step 2: Convert to fraction form
    301,311.12/415,808.20 = 165,347.32/x
  3. Step 3: Cross multiply
    301,311.12x = 415,808.20 × 165,347.32
  4. Step 4: Simplify right side
    301,311.12x = 68,752,771,504.02
  5. Step 5: Solve for x
    x = 68,752,771,504.02/301,311.12
  6. Step 6: Final answer
    x = 228,178.67

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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.