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Finding the Fourth Proportional to 347,082.54, 520,029.66 and 189,421.71

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Solution

The fourth proportional to 347,082.54, 520,029.66 and 189,421.71 is: 283,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082.54 : 520,029.66 = 189,421.71 : x
  2. Step 2: Convert to fraction form
    347,082.54/520,029.66 = 189,421.71/x
  3. Step 3: Cross multiply
    347,082.54x = 520,029.66 × 189,421.71
  4. Step 4: Simplify right side
    347,082.54x = 98,504,907,447.92
  5. Step 5: Solve for x
    x = 98,504,907,447.92/347,082.54
  6. Step 6: Final answer
    x = 283,808.31

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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.