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Finding the Fourth Proportional to 580,608,006.80, 870,912,010.20 and 257,491,878.80

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Solution

The fourth proportional to 580,608,006.80, 870,912,010.20 and 257,491,878.80 is: 386,237,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,608,006.80 : 870,912,010.20 = 257,491,878.80 : x
  2. Step 2: Convert to fraction form
    580,608,006.80/870,912,010.20 = 257,491,878.80/x
  3. Step 3: Cross multiply
    580,608,006.80x = 870,912,010.20 × 257,491,878.80
  4. Step 4: Simplify right side
    580,608,006.80x = 224,252,769,775,882,784
  5. Step 5: Solve for x
    x = 224,252,769,775,882,784/580,608,006.80
  6. Step 6: Final answer
    x = 386,237,818.20

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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.