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Finding the Fourth Proportional to 298,506.81, 447,819.31 and 85,276.56

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Solution

The fourth proportional to 298,506.81, 447,819.31 and 85,276.56 is: 127,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,506.81 : 447,819.31 = 85,276.56 : x
  2. Step 2: Convert to fraction form
    298,506.81/447,819.31 = 85,276.56/x
  3. Step 3: Cross multiply
    298,506.81x = 447,819.31 × 85,276.56
  4. Step 4: Simplify right side
    298,506.81x = 38,188,490,258.37
  5. Step 5: Solve for x
    x = 38,188,490,258.37/298,506.81
  6. Step 6: Final answer
    x = 127,931.72

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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.