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Finding the Fourth Proportional to 301,279.56, 415,778.82 and 180,440.52

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Solution

The fourth proportional to 301,279.56, 415,778.82 and 180,440.52 is: 249,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,279.56 : 415,778.82 = 180,440.52 : x
  2. Step 2: Convert to fraction form
    301,279.56/415,778.82 = 180,440.52/x
  3. Step 3: Cross multiply
    301,279.56x = 415,778.82 × 180,440.52
  4. Step 4: Simplify right side
    301,279.56x = 75,023,346,485.79
  5. Step 5: Solve for x
    x = 75,023,346,485.79/301,279.56
  6. Step 6: Final answer
    x = 249,015.72

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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.