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Finding the Fourth Proportional to 389,065, 536,950.98 and 228,055.33

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Solution

The fourth proportional to 389,065, 536,950.98 and 228,055.33 is: 314,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,065 : 536,950.98 = 228,055.33 : x
  2. Step 2: Convert to fraction form
    389,065/536,950.98 = 228,055.33/x
  3. Step 3: Cross multiply
    389,065x = 536,950.98 × 228,055.33
  4. Step 4: Simplify right side
    389,065x = 122,454,529,112.69
  5. Step 5: Solve for x
    x = 122,454,529,112.69/389,065
  6. Step 6: Final answer
    x = 314,740.54

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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.