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Finding the Fourth Proportional to 360,999.99, 498,216.83 and 208,043.64

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Solution

The fourth proportional to 360,999.99, 498,216.83 and 208,043.64 is: 287,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,999.99 : 498,216.83 = 208,043.64 : x
  2. Step 2: Convert to fraction form
    360,999.99/498,216.83 = 208,043.64/x
  3. Step 3: Cross multiply
    360,999.99x = 498,216.83 × 208,043.64
  4. Step 4: Simplify right side
    360,999.99x = 103,650,841,782.24
  5. Step 5: Solve for x
    x = 103,650,841,782.24/360,999.99
  6. Step 6: Final answer
    x = 287,121.45

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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.