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Finding the Fourth Proportional to 286,639.94, 429,958.56 and 73,407.44

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Solution

The fourth proportional to 286,639.94, 429,958.56 and 73,407.44 is: 110,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,639.94 : 429,958.56 = 73,407.44 : x
  2. Step 2: Convert to fraction form
    286,639.94/429,958.56 = 73,407.44/x
  3. Step 3: Cross multiply
    286,639.94x = 429,958.56 × 73,407.44
  4. Step 4: Simplify right side
    286,639.94x = 31,562,157,195.69
  5. Step 5: Solve for x
    x = 31,562,157,195.69/286,639.94
  6. Step 6: Final answer
    x = 110,110.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.