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Finding the Fourth Proportional to 513,511.56, 708,632.70 and 284,062.86

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Solution

The fourth proportional to 513,511.56, 708,632.70 and 284,062.86 is: 391,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,511.56 : 708,632.70 = 284,062.86 : x
  2. Step 2: Convert to fraction form
    513,511.56/708,632.70 = 284,062.86/x
  3. Step 3: Cross multiply
    513,511.56x = 708,632.70 × 284,062.86
  4. Step 4: Simplify right side
    513,511.56x = 201,296,231,451.52
  5. Step 5: Solve for x
    x = 201,296,231,451.52/513,511.56
  6. Step 6: Final answer
    x = 391,999.42

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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.