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Finding the Fourth Proportional to 391,048.71, 586,794.93 and 211,131.72

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Solution

The fourth proportional to 391,048.71, 586,794.93 and 211,131.72 is: 316,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,048.71 : 586,794.93 = 211,131.72 : x
  2. Step 2: Convert to fraction form
    391,048.71/586,794.93 = 211,131.72/x
  3. Step 3: Cross multiply
    391,048.71x = 586,794.93 × 211,131.72
  4. Step 4: Simplify right side
    391,048.71x = 123,891,022,858.18
  5. Step 5: Solve for x
    x = 123,891,022,858.18/391,048.71
  6. Step 6: Final answer
    x = 316,817.37

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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.