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Finding the Fourth Proportional to 516,650.34, 712,930.23 and 298,803.27

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Solution

The fourth proportional to 516,650.34, 712,930.23 and 298,803.27 is: 412,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,650.34 : 712,930.23 = 298,803.27 : x
  2. Step 2: Convert to fraction form
    516,650.34/712,930.23 = 298,803.27/x
  3. Step 3: Cross multiply
    516,650.34x = 712,930.23 × 298,803.27
  4. Step 4: Simplify right side
    516,650.34x = 213,025,884,005.85
  5. Step 5: Solve for x
    x = 213,025,884,005.85/516,650.34
  6. Step 6: Final answer
    x = 412,321.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.