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Finding the Fourth Proportional to 403,409.01, 556,724.89 and 228,991.49

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Solution

The fourth proportional to 403,409.01, 556,724.89 and 228,991.49 is: 316,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,409.01 : 556,724.89 = 228,991.49 : x
  2. Step 2: Convert to fraction form
    403,409.01/556,724.89 = 228,991.49/x
  3. Step 3: Cross multiply
    403,409.01x = 556,724.89 × 228,991.49
  4. Step 4: Simplify right side
    403,409.01x = 127,485,261,671.52
  5. Step 5: Solve for x
    x = 127,485,261,671.52/403,409.01
  6. Step 6: Final answer
    x = 316,019.87

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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.