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Finding the Fourth Proportional to 301,041.42, 415,441.83 and 165,087.78

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Solution

The fourth proportional to 301,041.42, 415,441.83 and 165,087.78 is: 227,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,041.42 : 415,441.83 = 165,087.78 : x
  2. Step 2: Convert to fraction form
    301,041.42/415,441.83 = 165,087.78/x
  3. Step 3: Cross multiply
    301,041.42x = 415,441.83 × 165,087.78
  4. Step 4: Simplify right side
    301,041.42x = 68,584,369,433.84
  5. Step 5: Solve for x
    x = 68,584,369,433.84/301,041.42
  6. Step 6: Final answer
    x = 227,823.70

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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.