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Finding the Fourth Proportional to 393,984,418.40, 590,976,627.60 and 264,989,909.60

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Solution

The fourth proportional to 393,984,418.40, 590,976,627.60 and 264,989,909.60 is: 397,484,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984,418.40 : 590,976,627.60 = 264,989,909.60 : x
  2. Step 2: Convert to fraction form
    393,984,418.40/590,976,627.60 = 264,989,909.60/x
  3. Step 3: Cross multiply
    393,984,418.40x = 590,976,627.60 × 264,989,909.60
  4. Step 4: Simplify right side
    393,984,418.40x = 156,602,843,123,436,864
  5. Step 5: Solve for x
    x = 156,602,843,123,436,864/393,984,418.40
  6. Step 6: Final answer
    x = 397,484,864.40

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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.