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Finding the Fourth Proportional to 380,288.86, 524,804.84 and 208,203.94

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Solution

The fourth proportional to 380,288.86, 524,804.84 and 208,203.94 is: 287,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,288.86 : 524,804.84 = 208,203.94 : x
  2. Step 2: Convert to fraction form
    380,288.86/524,804.84 = 208,203.94/x
  3. Step 3: Cross multiply
    380,288.86x = 524,804.84 × 208,203.94
  4. Step 4: Simplify right side
    380,288.86x = 109,266,435,419.07
  5. Step 5: Solve for x
    x = 109,266,435,419.07/380,288.86
  6. Step 6: Final answer
    x = 287,324.84

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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.