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Finding the Fourth Proportional to 298,676.58, 447,944.10 and 85,437.91

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Solution

The fourth proportional to 298,676.58, 447,944.10 and 85,437.91 is: 128,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,676.58 : 447,944.10 = 85,437.91 : x
  2. Step 2: Convert to fraction form
    298,676.58/447,944.10 = 85,437.91/x
  3. Step 3: Cross multiply
    298,676.58x = 447,944.10 × 85,437.91
  4. Step 4: Simplify right side
    298,676.58x = 38,271,407,700.83
  5. Step 5: Solve for x
    x = 38,271,407,700.83/298,676.58
  6. Step 6: Final answer
    x = 128,136.62

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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.