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Finding the Fourth Proportional to 301,399.82, 415,952.54 and 199,248.13

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Solution

The fourth proportional to 301,399.82, 415,952.54 and 199,248.13 is: 274,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,399.82 : 415,952.54 = 199,248.13 : x
  2. Step 2: Convert to fraction form
    301,399.82/415,952.54 = 199,248.13/x
  3. Step 3: Cross multiply
    301,399.82x = 415,952.54 × 199,248.13
  4. Step 4: Simplify right side
    301,399.82x = 82,877,765,763.75
  5. Step 5: Solve for x
    x = 82,877,765,763.75/301,399.82
  6. Step 6: Final answer
    x = 274,976.16

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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.