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Finding the Fourth Proportional to 419,312.52, 628,443.69 and 330,214.14

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Solution

The fourth proportional to 419,312.52, 628,443.69 and 330,214.14 is: 494,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,312.52 : 628,443.69 = 330,214.14 : x
  2. Step 2: Convert to fraction form
    419,312.52/628,443.69 = 330,214.14/x
  3. Step 3: Cross multiply
    419,312.52x = 628,443.69 × 330,214.14
  4. Step 4: Simplify right side
    419,312.52x = 207,520,992,631.78
  5. Step 5: Solve for x
    x = 207,520,992,631.78/419,312.52
  6. Step 6: Final answer
    x = 494,907.69

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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.