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Finding the Fourth Proportional to 617,806,020.80, 926,694,861.60 and 311,015,748.80

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Solution

The fourth proportional to 617,806,020.80, 926,694,861.60 and 311,015,748.80 is: 466,516,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,806,020.80 : 926,694,861.60 = 311,015,748.80 : x
  2. Step 2: Convert to fraction form
    617,806,020.80/926,694,861.60 = 311,015,748.80/x
  3. Step 3: Cross multiply
    617,806,020.80x = 926,694,861.60 × 311,015,748.80
  4. Step 4: Simplify right side
    617,806,020.80x = 288,216,696,289,636,384
  5. Step 5: Solve for x
    x = 288,216,696,289,636,384/617,806,020.80
  6. Step 6: Final answer
    x = 466,516,489.94

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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.