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Finding the Fourth Proportional to 513,372.96, 708,170.26 and 298,489.27

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Solution

The fourth proportional to 513,372.96, 708,170.26 and 298,489.27 is: 411,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,372.96 : 708,170.26 = 298,489.27 : x
  2. Step 2: Convert to fraction form
    513,372.96/708,170.26 = 298,489.27/x
  3. Step 3: Cross multiply
    513,372.96x = 708,170.26 × 298,489.27
  4. Step 4: Simplify right side
    513,372.96x = 211,381,223,943.11
  5. Step 5: Solve for x
    x = 211,381,223,943.11/513,372.96
  6. Step 6: Final answer
    x = 411,749.82

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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.