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Finding the Fourth Proportional to 363,426, 501,532.63 and 200,101.50

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Solution

The fourth proportional to 363,426, 501,532.63 and 200,101.50 is: 276,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,426 : 501,532.63 = 200,101.50 : x
  2. Step 2: Convert to fraction form
    363,426/501,532.63 = 200,101.50/x
  3. Step 3: Cross multiply
    363,426x = 501,532.63 × 200,101.50
  4. Step 4: Simplify right side
    363,426x = 100,357,431,561.95
  5. Step 5: Solve for x
    x = 100,357,431,561.95/363,426
  6. Step 6: Final answer
    x = 276,142.69

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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.