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Finding the Fourth Proportional to 389,066, 536,952.36 and 228,056.33

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Solution

The fourth proportional to 389,066, 536,952.36 and 228,056.33 is: 314,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,066 : 536,952.36 = 228,056.33 : x
  2. Step 2: Convert to fraction form
    389,066/536,952.36 = 228,056.33/x
  3. Step 3: Cross multiply
    389,066x = 536,952.36 × 228,056.33
  4. Step 4: Simplify right side
    389,066x = 122,455,384,606.44
  5. Step 5: Solve for x
    x = 122,455,384,606.44/389,066
  6. Step 6: Final answer
    x = 314,741.93

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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.