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Finding the Fourth Proportional to 380,913, 525,659.94 and 211,173

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Solution

The fourth proportional to 380,913, 525,659.94 and 211,173 is: 291,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,913 : 525,659.94 = 211,173 : x
  2. Step 2: Convert to fraction form
    380,913/525,659.94 = 211,173/x
  3. Step 3: Cross multiply
    380,913x = 525,659.94 × 211,173
  4. Step 4: Simplify right side
    380,913x = 111,005,186,509.62
  5. Step 5: Solve for x
    x = 111,005,186,509.62/380,913
  6. Step 6: Final answer
    x = 291,418.74

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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.