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Finding the Fourth Proportional to 360,909.69, 498,039.69 and 199,755.12

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Solution

The fourth proportional to 360,909.69, 498,039.69 and 199,755.12 is: 275,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,909.69 : 498,039.69 = 199,755.12 : x
  2. Step 2: Convert to fraction form
    360,909.69/498,039.69 = 199,755.12/x
  3. Step 3: Cross multiply
    360,909.69x = 498,039.69 × 199,755.12
  4. Step 4: Simplify right side
    360,909.69x = 99,485,978,040.71
  5. Step 5: Solve for x
    x = 99,485,978,040.71/360,909.69
  6. Step 6: Final answer
    x = 275,653.39

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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.