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Finding the Fourth Proportional to 306,819.69, 460,218.60 and 107,139.30

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Solution

The fourth proportional to 306,819.69, 460,218.60 and 107,139.30 is: 160,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,819.69 : 460,218.60 = 107,139.30 : x
  2. Step 2: Convert to fraction form
    306,819.69/460,218.60 = 107,139.30/x
  3. Step 3: Cross multiply
    306,819.69x = 460,218.60 × 107,139.30
  4. Step 4: Simplify right side
    306,819.69x = 49,307,498,650.98
  5. Step 5: Solve for x
    x = 49,307,498,650.98/306,819.69
  6. Step 6: Final answer
    x = 160,705.13

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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.