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Finding the Fourth Proportional to 647,198,817.60, 970,798,226.40 and 187,151,995.20

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Solution

The fourth proportional to 647,198,817.60, 970,798,226.40 and 187,151,995.20 is: 280,727,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,198,817.60 : 970,798,226.40 = 187,151,995.20 : x
  2. Step 2: Convert to fraction form
    647,198,817.60/970,798,226.40 = 187,151,995.20/x
  3. Step 3: Cross multiply
    647,198,817.60x = 970,798,226.40 × 187,151,995.20
  4. Step 4: Simplify right side
    647,198,817.60x = 181,686,825,007,381,312
  5. Step 5: Solve for x
    x = 181,686,825,007,381,312/647,198,817.60
  6. Step 6: Final answer
    x = 280,727,992.80

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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.