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Finding the Fourth Proportional to 305,863.10, 458,794.65 and 211,384.70

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Solution

The fourth proportional to 305,863.10, 458,794.65 and 211,384.70 is: 317,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.10 : 458,794.65 = 211,384.70 : x
  2. Step 2: Convert to fraction form
    305,863.10/458,794.65 = 211,384.70/x
  3. Step 3: Cross multiply
    305,863.10x = 458,794.65 × 211,384.70
  4. Step 4: Simplify right side
    305,863.10x = 96,982,169,451.86
  5. Step 5: Solve for x
    x = 96,982,169,451.86/305,863.10
  6. Step 6: Final answer
    x = 317,077.05

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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.