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Finding the Fourth Proportional to 301,383, 415,905.93 and 165,422.70

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Solution

The fourth proportional to 301,383, 415,905.93 and 165,422.70 is: 228,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,383 : 415,905.93 = 165,422.70 : x
  2. Step 2: Convert to fraction form
    301,383/415,905.93 = 165,422.70/x
  3. Step 3: Cross multiply
    301,383x = 415,905.93 × 165,422.70
  4. Step 4: Simplify right side
    301,383x = 68,800,281,886.61
  5. Step 5: Solve for x
    x = 68,800,281,886.61/301,383
  6. Step 6: Final answer
    x = 228,281.89

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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.