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Finding the Fourth Proportional to 321,658.60, 482,489.14 and 134,538.84

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Solution

The fourth proportional to 321,658.60, 482,489.14 and 134,538.84 is: 201,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.60 : 482,489.14 = 134,538.84 : x
  2. Step 2: Convert to fraction form
    321,658.60/482,489.14 = 134,538.84/x
  3. Step 3: Cross multiply
    321,658.60x = 482,489.14 × 134,538.84
  4. Step 4: Simplify right side
    321,658.60x = 64,913,529,208.20
  5. Step 5: Solve for x
    x = 64,913,529,208.20/321,658.60
  6. Step 6: Final answer
    x = 201,808.78

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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.