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Finding the Fourth Proportional to 369,955.52, 510,539.96 and 200,189.64

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Solution

The fourth proportional to 369,955.52, 510,539.96 and 200,189.64 is: 276,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,955.52 : 510,539.96 = 200,189.64 : x
  2. Step 2: Convert to fraction form
    369,955.52/510,539.96 = 200,189.64/x
  3. Step 3: Cross multiply
    369,955.52x = 510,539.96 × 200,189.64
  4. Step 4: Simplify right side
    369,955.52x = 102,204,810,798.01
  5. Step 5: Solve for x
    x = 102,204,810,798.01/369,955.52
  6. Step 6: Final answer
    x = 276,262.43

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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.