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Finding the Fourth Proportional to 329,697.20, 493,233.60 and 285,811.40

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Solution

The fourth proportional to 329,697.20, 493,233.60 and 285,811.40 is: 427,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,697.20 : 493,233.60 = 285,811.40 : x
  2. Step 2: Convert to fraction form
    329,697.20/493,233.60 = 285,811.40/x
  3. Step 3: Cross multiply
    329,697.20x = 493,233.60 × 285,811.40
  4. Step 4: Simplify right side
    329,697.20x = 140,971,785,743.04
  5. Step 5: Solve for x
    x = 140,971,785,743.04/329,697.20
  6. Step 6: Final answer
    x = 427,579.57

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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.