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Finding the Fourth Proportional to 321,709.48, 482,458.56 and 108,420.16

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Solution

The fourth proportional to 321,709.48, 482,458.56 and 108,420.16 is: 162,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,709.48 : 482,458.56 = 108,420.16 : x
  2. Step 2: Convert to fraction form
    321,709.48/482,458.56 = 108,420.16/x
  3. Step 3: Cross multiply
    321,709.48x = 482,458.56 × 108,420.16
  4. Step 4: Simplify right side
    321,709.48x = 52,308,234,268.57
  5. Step 5: Solve for x
    x = 52,308,234,268.57/321,709.48
  6. Step 6: Final answer
    x = 162,594.63

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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.