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Finding the Fourth Proportional to 380,938.86, 525,695.64 and 211,173

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Solution

The fourth proportional to 380,938.86, 525,695.64 and 211,173 is: 291,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,938.86 : 525,695.64 = 211,173 : x
  2. Step 2: Convert to fraction form
    380,938.86/525,695.64 = 211,173/x
  3. Step 3: Cross multiply
    380,938.86x = 525,695.64 × 211,173
  4. Step 4: Simplify right side
    380,938.86x = 111,012,725,385.72
  5. Step 5: Solve for x
    x = 111,012,725,385.72/380,938.86
  6. Step 6: Final answer
    x = 291,418.75

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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.