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Finding the Fourth Proportional to 391,107.52, 586,829.85 and 211,157.21

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Solution

The fourth proportional to 391,107.52, 586,829.85 and 211,157.21 is: 316,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,107.52 : 586,829.85 = 211,157.21 : x
  2. Step 2: Convert to fraction form
    391,107.52/586,829.85 = 211,157.21/x
  3. Step 3: Cross multiply
    391,107.52x = 586,829.85 × 211,157.21
  4. Step 4: Simplify right side
    391,107.52x = 123,913,355,733.71
  5. Step 5: Solve for x
    x = 123,913,355,733.71/391,107.52
  6. Step 6: Final answer
    x = 316,826.83

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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.