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Finding the Fourth Proportional to 298,678.58, 447,947.10 and 85,439.92

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Solution

The fourth proportional to 298,678.58, 447,947.10 and 85,439.92 is: 128,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678.58 : 447,947.10 = 85,439.92 : x
  2. Step 2: Convert to fraction form
    298,678.58/447,947.10 = 85,439.92/x
  3. Step 3: Cross multiply
    298,678.58x = 447,947.10 × 85,439.92
  4. Step 4: Simplify right side
    298,678.58x = 38,272,564,388.23
  5. Step 5: Solve for x
    x = 38,272,564,388.23/298,678.58
  6. Step 6: Final answer
    x = 128,139.64

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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.