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Finding the Fourth Proportional to 345,825.25, 477,238.85 and 186,849.25

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Solution

The fourth proportional to 345,825.25, 477,238.85 and 186,849.25 is: 257,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,825.25 : 477,238.85 = 186,849.25 : x
  2. Step 2: Convert to fraction form
    345,825.25/477,238.85 = 186,849.25/x
  3. Step 3: Cross multiply
    345,825.25x = 477,238.85 × 186,849.25
  4. Step 4: Simplify right side
    345,825.25x = 89,171,721,193.36
  5. Step 5: Solve for x
    x = 89,171,721,193.36/345,825.25
  6. Step 6: Final answer
    x = 257,851.97

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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.