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Finding the Fourth Proportional to 724,367,978.40, 1,086,693,685.20 and 309,843,998.40

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Solution

The fourth proportional to 724,367,978.40, 1,086,693,685.20 and 309,843,998.40 is: 464,826,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,367,978.40 : 1,086,693,685.20 = 309,843,998.40 : x
  2. Step 2: Convert to fraction form
    724,367,978.40/1,086,693,685.20 = 309,843,998.40/x
  3. Step 3: Cross multiply
    724,367,978.40x = 1,086,693,685.20 × 309,843,998.40
  4. Step 4: Simplify right side
    724,367,978.40x = 336,705,516,458,398,912
  5. Step 5: Solve for x
    x = 336,705,516,458,398,912/724,367,978.40
  6. Step 6: Final answer
    x = 464,826,616.44

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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.