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Finding the Fourth Proportional to 298,443.02, 447,861.36 and 140,687.42

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Solution

The fourth proportional to 298,443.02, 447,861.36 and 140,687.42 is: 211,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,443.02 : 447,861.36 = 140,687.42 : x
  2. Step 2: Convert to fraction form
    298,443.02/447,861.36 = 140,687.42/x
  3. Step 3: Cross multiply
    298,443.02x = 447,861.36 × 140,687.42
  4. Step 4: Simplify right side
    298,443.02x = 63,008,459,256.09
  5. Step 5: Solve for x
    x = 63,008,459,256.09/298,443.02
  6. Step 6: Final answer
    x = 211,123.92

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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.