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Finding the Fourth Proportional to 301,286.88, 415,762 and 165,317.52

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Solution

The fourth proportional to 301,286.88, 415,762 and 165,317.52 is: 228,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286.88 : 415,762 = 165,317.52 : x
  2. Step 2: Convert to fraction form
    301,286.88/415,762 = 165,317.52/x
  3. Step 3: Cross multiply
    301,286.88x = 415,762 × 165,317.52
  4. Step 4: Simplify right side
    301,286.88x = 68,732,742,750.24
  5. Step 5: Solve for x
    x = 68,732,742,750.24/301,286.88
  6. Step 6: Final answer
    x = 228,130.55

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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.