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Finding the Fourth Proportional to 459,343.64, 687,668.09 and 322,090.83

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Solution

The fourth proportional to 459,343.64, 687,668.09 and 322,090.83 is: 482,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,343.64 : 687,668.09 = 322,090.83 : x
  2. Step 2: Convert to fraction form
    459,343.64/687,668.09 = 322,090.83/x
  3. Step 3: Cross multiply
    459,343.64x = 687,668.09 × 322,090.83
  4. Step 4: Simplify right side
    459,343.64x = 221,491,584,262.16
  5. Step 5: Solve for x
    x = 221,491,584,262.16/459,343.64
  6. Step 6: Final answer
    x = 482,191.47

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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.