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Finding the Fourth Proportional to 458,228.27, 687,845.21 and 364,063.74

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Solution

The fourth proportional to 458,228.27, 687,845.21 and 364,063.74 is: 546,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,228.27 : 687,845.21 = 364,063.74 : x
  2. Step 2: Convert to fraction form
    458,228.27/687,845.21 = 364,063.74/x
  3. Step 3: Cross multiply
    458,228.27x = 687,845.21 × 364,063.74
  4. Step 4: Simplify right side
    458,228.27x = 250,419,499,693.69
  5. Step 5: Solve for x
    x = 250,419,499,693.69/458,228.27
  6. Step 6: Final answer
    x = 546,495.09

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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.