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Finding the Fourth Proportional to 452,522.19, 678,930.76 and 215,834.12

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Solution

The fourth proportional to 452,522.19, 678,930.76 and 215,834.12 is: 323,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,522.19 : 678,930.76 = 215,834.12 : x
  2. Step 2: Convert to fraction form
    452,522.19/678,930.76 = 215,834.12/x
  3. Step 3: Cross multiply
    452,522.19x = 678,930.76 × 215,834.12
  4. Step 4: Simplify right side
    452,522.19x = 146,536,422,546.66
  5. Step 5: Solve for x
    x = 146,536,422,546.66/452,522.19
  6. Step 6: Final answer
    x = 323,821.52

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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.