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Finding the Fourth Proportional to 306,955.20, 461,416.95 and 218,819.10

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Solution

The fourth proportional to 306,955.20, 461,416.95 and 218,819.10 is: 328,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,955.20 : 461,416.95 = 218,819.10 : x
  2. Step 2: Convert to fraction form
    306,955.20/461,416.95 = 218,819.10/x
  3. Step 3: Cross multiply
    306,955.20x = 461,416.95 × 218,819.10
  4. Step 4: Simplify right side
    306,955.20x = 100,966,841,723.75
  5. Step 5: Solve for x
    x = 100,966,841,723.75/306,955.20
  6. Step 6: Final answer
    x = 328,930.22

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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.