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Finding the Fourth Proportional to 363,425, 501,531.25 and 200,100.50

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Solution

The fourth proportional to 363,425, 501,531.25 and 200,100.50 is: 276,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,425 : 501,531.25 = 200,100.50 : x
  2. Step 2: Convert to fraction form
    363,425/501,531.25 = 200,100.50/x
  3. Step 3: Cross multiply
    363,425x = 501,531.25 × 200,100.50
  4. Step 4: Simplify right side
    363,425x = 100,356,653,890.63
  5. Step 5: Solve for x
    x = 100,356,653,890.63/363,425
  6. Step 6: Final answer
    x = 276,141.31

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1.5x scale

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.