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Finding the Fourth Proportional to 391,225.65, 587,056.46 and 211,307.43

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Solution

The fourth proportional to 391,225.65, 587,056.46 and 211,307.43 is: 317,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,225.65 : 587,056.46 = 211,307.43 : x
  2. Step 2: Convert to fraction form
    391,225.65/587,056.46 = 211,307.43/x
  3. Step 3: Cross multiply
    391,225.65x = 587,056.46 × 211,307.43
  4. Step 4: Simplify right side
    391,225.65x = 124,049,394,161.03
  5. Step 5: Solve for x
    x = 124,049,394,161.03/391,225.65
  6. Step 6: Final answer
    x = 317,078.89

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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.