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Finding the Fourth Proportional to 513,379.68, 708,179.60 and 298,496

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Solution

The fourth proportional to 513,379.68, 708,179.60 and 298,496 is: 411,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,379.68 : 708,179.60 = 298,496 : x
  2. Step 2: Convert to fraction form
    513,379.68/708,179.60 = 298,496/x
  3. Step 3: Cross multiply
    513,379.68x = 708,179.60 × 298,496
  4. Step 4: Simplify right side
    513,379.68x = 211,388,777,881.60
  5. Step 5: Solve for x
    x = 211,388,777,881.60/513,379.68
  6. Step 6: Final answer
    x = 411,759.14

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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.