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Finding the Fourth Proportional to 301,359.88, 415,881.91 and 165,406.54

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Solution

The fourth proportional to 301,359.88, 415,881.91 and 165,406.54 is: 228,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.88 : 415,881.91 = 165,406.54 : x
  2. Step 2: Convert to fraction form
    301,359.88/415,881.91 = 165,406.54/x
  3. Step 3: Cross multiply
    301,359.88x = 415,881.91 × 165,406.54
  4. Step 4: Simplify right side
    301,359.88x = 68,789,587,781.69
  5. Step 5: Solve for x
    x = 68,789,587,781.69/301,359.88
  6. Step 6: Final answer
    x = 228,263.92

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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.