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Finding the Fourth Proportional to 301,358.90, 415,861.96 and 165,393.11

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Solution

The fourth proportional to 301,358.90, 415,861.96 and 165,393.11 is: 228,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,358.90 : 415,861.96 = 165,393.11 : x
  2. Step 2: Convert to fraction form
    301,358.90/415,861.96 = 165,393.11/x
  3. Step 3: Cross multiply
    301,358.90x = 415,861.96 × 165,393.11
  4. Step 4: Simplify right side
    301,358.90x = 68,780,702,895.10
  5. Step 5: Solve for x
    x = 68,780,702,895.10/301,358.90
  6. Step 6: Final answer
    x = 228,235.18

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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.