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Finding the Fourth Proportional to 513,375.96, 708,174.40 and 298,492.27

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Solution

The fourth proportional to 513,375.96, 708,174.40 and 298,492.27 is: 411,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,375.96 : 708,174.40 = 298,492.27 : x
  2. Step 2: Convert to fraction form
    513,375.96/708,174.40 = 298,492.27/x
  3. Step 3: Cross multiply
    513,375.96x = 708,174.40 × 298,492.27
  4. Step 4: Simplify right side
    513,375.96x = 211,384,584,211.89
  5. Step 5: Solve for x
    x = 211,384,584,211.89/513,375.96
  6. Step 6: Final answer
    x = 411,753.96

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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.