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Finding the Fourth Proportional to 301,130.84, 415,587.22 and 165,191.28

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Solution

The fourth proportional to 301,130.84, 415,587.22 and 165,191.28 is: 227,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,130.84 : 415,587.22 = 165,191.28 : x
  2. Step 2: Convert to fraction form
    301,130.84/415,587.22 = 165,191.28/x
  3. Step 3: Cross multiply
    301,130.84x = 415,587.22 × 165,191.28
  4. Step 4: Simplify right side
    301,130.84x = 68,651,381,919.55
  5. Step 5: Solve for x
    x = 68,651,381,919.55/301,130.84
  6. Step 6: Final answer
    x = 227,978.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.