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Finding the Fourth Proportional to 321,364.20, 482,564.70 and 216,647.40

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Solution

The fourth proportional to 321,364.20, 482,564.70 and 216,647.40 is: 325,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,364.20 : 482,564.70 = 216,647.40 : x
  2. Step 2: Convert to fraction form
    321,364.20/482,564.70 = 216,647.40/x
  3. Step 3: Cross multiply
    321,364.20x = 482,564.70 × 216,647.40
  4. Step 4: Simplify right side
    321,364.20x = 104,546,387,586.78
  5. Step 5: Solve for x
    x = 104,546,387,586.78/321,364.20
  6. Step 6: Final answer
    x = 325,320.58

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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.