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Finding the Fourth Proportional to 429,871.05, 644,629.59 and 186,727.68

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Solution

The fourth proportional to 429,871.05, 644,629.59 and 186,727.68 is: 280,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,871.05 : 644,629.59 = 186,727.68 : x
  2. Step 2: Convert to fraction form
    429,871.05/644,629.59 = 186,727.68/x
  3. Step 3: Cross multiply
    429,871.05x = 644,629.59 × 186,727.68
  4. Step 4: Simplify right side
    429,871.05x = 120,370,187,800.05
  5. Step 5: Solve for x
    x = 120,370,187,800.05/429,871.05
  6. Step 6: Final answer
    x = 280,014.64

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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.