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Finding the Fourth Proportional to 301,439.54, 415,901.35 and 194,071.74

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Solution

The fourth proportional to 301,439.54, 415,901.35 and 194,071.74 is: 267,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,439.54 : 415,901.35 = 194,071.74 : x
  2. Step 2: Convert to fraction form
    301,439.54/415,901.35 = 194,071.74/x
  3. Step 3: Cross multiply
    301,439.54x = 415,901.35 × 194,071.74
  4. Step 4: Simplify right side
    301,439.54x = 80,714,698,662.85
  5. Step 5: Solve for x
    x = 80,714,698,662.85/301,439.54
  6. Step 6: Final answer
    x = 267,764.14

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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.