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Finding the Fourth Proportional to 321,509.14, 482,098.47 and 188,651.32

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Solution

The fourth proportional to 321,509.14, 482,098.47 and 188,651.32 is: 282,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,509.14 : 482,098.47 = 188,651.32 : x
  2. Step 2: Convert to fraction form
    321,509.14/482,098.47 = 188,651.32/x
  3. Step 3: Cross multiply
    321,509.14x = 482,098.47 × 188,651.32
  4. Step 4: Simplify right side
    321,509.14x = 90,948,512,735.48
  5. Step 5: Solve for x
    x = 90,948,512,735.48/321,509.14
  6. Step 6: Final answer
    x = 282,880.02

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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.