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Finding the Fourth Proportional to 513,380.96, 708,181.32 and 298,497.28

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Solution

The fourth proportional to 513,380.96, 708,181.32 and 298,497.28 is: 411,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,380.96 : 708,181.32 = 298,497.28 : x
  2. Step 2: Convert to fraction form
    513,380.96/708,181.32 = 298,497.28/x
  3. Step 3: Cross multiply
    513,380.96x = 708,181.32 × 298,497.28
  4. Step 4: Simplify right side
    513,380.96x = 211,390,197,766.81
  5. Step 5: Solve for x
    x = 211,390,197,766.81/513,380.96
  6. Step 6: Final answer
    x = 411,760.88

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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.