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Finding the Fourth Proportional to 301,090.39, 415,510.02 and 165,115.89

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Solution

The fourth proportional to 301,090.39, 415,510.02 and 165,115.89 is: 227,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,090.39 : 415,510.02 = 165,115.89 : x
  2. Step 2: Convert to fraction form
    301,090.39/415,510.02 = 165,115.89/x
  3. Step 3: Cross multiply
    301,090.39x = 415,510.02 × 165,115.89
  4. Step 4: Simplify right side
    301,090.39x = 68,607,306,756.22
  5. Step 5: Solve for x
    x = 68,607,306,756.22/301,090.39
  6. Step 6: Final answer
    x = 227,862.83

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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.