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Finding the Fourth Proportional to 312,079.40, 468,119.10 and 194,114.60

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Solution

The fourth proportional to 312,079.40, 468,119.10 and 194,114.60 is: 291,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,079.40 : 468,119.10 = 194,114.60 : x
  2. Step 2: Convert to fraction form
    312,079.40/468,119.10 = 194,114.60/x
  3. Step 3: Cross multiply
    312,079.40x = 468,119.10 × 194,114.60
  4. Step 4: Simplify right side
    312,079.40x = 90,868,751,848.86
  5. Step 5: Solve for x
    x = 90,868,751,848.86/312,079.40
  6. Step 6: Final answer
    x = 291,171.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.