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Finding the Fourth Proportional to 301,301.08, 415,795.14 and 165,335.80

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Solution

The fourth proportional to 301,301.08, 415,795.14 and 165,335.80 is: 228,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.08 : 415,795.14 = 165,335.80 : x
  2. Step 2: Convert to fraction form
    301,301.08/415,795.14 = 165,335.80/x
  3. Step 3: Cross multiply
    301,301.08x = 415,795.14 × 165,335.80
  4. Step 4: Simplify right side
    301,301.08x = 68,745,822,108.01
  5. Step 5: Solve for x
    x = 68,745,822,108.01/301,301.08
  6. Step 6: Final answer
    x = 228,163.21

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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.