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Finding the Fourth Proportional to 445,385.40, 668,078.10 and 413,892.60

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Solution

The fourth proportional to 445,385.40, 668,078.10 and 413,892.60 is: 620,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,385.40 : 668,078.10 = 413,892.60 : x
  2. Step 2: Convert to fraction form
    445,385.40/668,078.10 = 413,892.60/x
  3. Step 3: Cross multiply
    445,385.40x = 668,078.10 × 413,892.60
  4. Step 4: Simplify right side
    445,385.40x = 276,512,581,812.06
  5. Step 5: Solve for x
    x = 276,512,581,812.06/445,385.40
  6. Step 6: Final answer
    x = 620,838.90

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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.