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Finding the Fourth Proportional to 360,499.77, 497,498.09 and 199,357.97

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Solution

The fourth proportional to 360,499.77, 497,498.09 and 199,357.97 is: 275,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,499.77 : 497,498.09 = 199,357.97 : x
  2. Step 2: Convert to fraction form
    360,499.77/497,498.09 = 199,357.97/x
  3. Step 3: Cross multiply
    360,499.77x = 497,498.09 × 199,357.97
  4. Step 4: Simplify right side
    360,499.77x = 99,180,205,817.00
  5. Step 5: Solve for x
    x = 99,180,205,817.00/360,499.77
  6. Step 6: Final answer
    x = 275,118.64

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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.