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Finding the Fourth Proportional to 301,782.36, 416,303.49 and 204,991.20

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Solution

The fourth proportional to 301,782.36, 416,303.49 and 204,991.20 is: 282,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,782.36 : 416,303.49 = 204,991.20 : x
  2. Step 2: Convert to fraction form
    301,782.36/416,303.49 = 204,991.20/x
  3. Step 3: Cross multiply
    301,782.36x = 416,303.49 × 204,991.20
  4. Step 4: Simplify right side
    301,782.36x = 85,338,551,979.29
  5. Step 5: Solve for x
    x = 85,338,551,979.29/301,782.36
  6. Step 6: Final answer
    x = 282,781.78

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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.