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Finding the Fourth Proportional to 403,158.50, 556,338.64 and 221,865.77

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Solution

The fourth proportional to 403,158.50, 556,338.64 and 221,865.77 is: 306,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,158.50 : 556,338.64 = 221,865.77 : x
  2. Step 2: Convert to fraction form
    403,158.50/556,338.64 = 221,865.77/x
  3. Step 3: Cross multiply
    403,158.50x = 556,338.64 × 221,865.77
  4. Step 4: Simplify right side
    403,158.50x = 123,432,500,744.35
  5. Step 5: Solve for x
    x = 123,432,500,744.35/403,158.50
  6. Step 6: Final answer
    x = 306,163.71

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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.