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Finding the Fourth Proportional to 406,716.17, 609,216.00 and 326,318.86

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Solution

The fourth proportional to 406,716.17, 609,216.00 and 326,318.86 is: 488,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,716.17 : 609,216.00 = 326,318.86 : x
  2. Step 2: Convert to fraction form
    406,716.17/609,216.00 = 326,318.86/x
  3. Step 3: Cross multiply
    406,716.17x = 609,216.00 × 326,318.86
  4. Step 4: Simplify right side
    406,716.17x = 198,798,669,325.40
  5. Step 5: Solve for x
    x = 198,798,669,325.40/406,716.17
  6. Step 6: Final answer
    x = 488,789.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.