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Finding the Fourth Proportional to 321,687.20, 482,919.60 and 319,354.40

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Solution

The fourth proportional to 321,687.20, 482,919.60 and 319,354.40 is: 479,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,687.20 : 482,919.60 = 319,354.40 : x
  2. Step 2: Convert to fraction form
    321,687.20/482,919.60 = 319,354.40/x
  3. Step 3: Cross multiply
    321,687.20x = 482,919.60 × 319,354.40
  4. Step 4: Simplify right side
    321,687.20x = 154,222,499,106.24
  5. Step 5: Solve for x
    x = 154,222,499,106.24/321,687.20
  6. Step 6: Final answer
    x = 479,417.58

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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.