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Finding the Fourth Proportional to 414,423.60, 621,635.40 and 331,479.60

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Solution

The fourth proportional to 414,423.60, 621,635.40 and 331,479.60 is: 497,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,423.60 : 621,635.40 = 331,479.60 : x
  2. Step 2: Convert to fraction form
    414,423.60/621,635.40 = 331,479.60/x
  3. Step 3: Cross multiply
    414,423.60x = 621,635.40 × 331,479.60
  4. Step 4: Simplify right side
    414,423.60x = 206,059,453,737.84
  5. Step 5: Solve for x
    x = 206,059,453,737.84/414,423.60
  6. Step 6: Final answer
    x = 497,219.40

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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.