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Finding the Fourth Proportional to 571,716.45, 856,431.29 and 343,886.27

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Solution

The fourth proportional to 571,716.45, 856,431.29 and 343,886.27 is: 515,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,716.45 : 856,431.29 = 343,886.27 : x
  2. Step 2: Convert to fraction form
    571,716.45/856,431.29 = 343,886.27/x
  3. Step 3: Cross multiply
    571,716.45x = 856,431.29 × 343,886.27
  4. Step 4: Simplify right side
    571,716.45x = 294,514,964,830.18
  5. Step 5: Solve for x
    x = 294,514,964,830.18/571,716.45
  6. Step 6: Final answer
    x = 515,141.67

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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.