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Finding the Fourth Proportional to 391,192.50, 586,788.76 and 213,602.64

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Solution

The fourth proportional to 391,192.50, 586,788.76 and 213,602.64 is: 320,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,192.50 : 586,788.76 = 213,602.64 : x
  2. Step 2: Convert to fraction form
    391,192.50/586,788.76 = 213,602.64/x
  3. Step 3: Cross multiply
    391,192.50x = 586,788.76 × 213,602.64
  4. Step 4: Simplify right side
    391,192.50x = 125,339,625,123.36
  5. Step 5: Solve for x
    x = 125,339,625,123.36/391,192.50
  6. Step 6: Final answer
    x = 320,403.95

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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.