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Finding the Fourth Proportional to 520,735.82, 780,094.91 and 295,414.65

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Solution

The fourth proportional to 520,735.82, 780,094.91 and 295,414.65 is: 442,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,735.82 : 780,094.91 = 295,414.65 : x
  2. Step 2: Convert to fraction form
    520,735.82/780,094.91 = 295,414.65/x
  3. Step 3: Cross multiply
    520,735.82x = 780,094.91 × 295,414.65
  4. Step 4: Simplify right side
    520,735.82x = 230,451,465,542.97
  5. Step 5: Solve for x
    x = 230,451,465,542.97/520,735.82
  6. Step 6: Final answer
    x = 442,549.67

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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.