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Finding the Fourth Proportional to 298,436.40, 447,733.80 and 129,884.40

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Solution

The fourth proportional to 298,436.40, 447,733.80 and 129,884.40 is: 194,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,436.40 : 447,733.80 = 129,884.40 : x
  2. Step 2: Convert to fraction form
    298,436.40/447,733.80 = 129,884.40/x
  3. Step 3: Cross multiply
    298,436.40x = 447,733.80 × 129,884.40
  4. Step 4: Simplify right side
    298,436.40x = 58,153,635,972.72
  5. Step 5: Solve for x
    x = 58,153,635,972.72/298,436.40
  6. Step 6: Final answer
    x = 194,861.07

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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.