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Finding the Fourth Proportional to 298,455.14, 447,700.25 and 85,206.67

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Solution

The fourth proportional to 298,455.14, 447,700.25 and 85,206.67 is: 127,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,455.14 : 447,700.25 = 85,206.67 : x
  2. Step 2: Convert to fraction form
    298,455.14/447,700.25 = 85,206.67/x
  3. Step 3: Cross multiply
    298,455.14x = 447,700.25 × 85,206.67
  4. Step 4: Simplify right side
    298,455.14x = 38,147,047,460.67
  5. Step 5: Solve for x
    x = 38,147,047,460.67/298,455.14
  6. Step 6: Final answer
    x = 127,815.01

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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.