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Finding the Fourth Proportional to 301,349.28, 415,919.34 and 199,376.76

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Solution

The fourth proportional to 301,349.28, 415,919.34 and 199,376.76 is: 275,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,349.28 : 415,919.34 = 199,376.76 : x
  2. Step 2: Convert to fraction form
    301,349.28/415,919.34 = 199,376.76/x
  3. Step 3: Cross multiply
    301,349.28x = 415,919.34 × 199,376.76
  4. Step 4: Simplify right side
    301,349.28x = 82,924,650,430.54
  5. Step 5: Solve for x
    x = 82,924,650,430.54/301,349.28
  6. Step 6: Final answer
    x = 275,177.86

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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.