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Finding the Fourth Proportional to 613,392,534.62, 919,765,951.50 and 419,359,439.71

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Solution

The fourth proportional to 613,392,534.62, 919,765,951.50 and 419,359,439.71 is: 628,818,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,392,534.62 : 919,765,951.50 = 419,359,439.71 : x
  2. Step 2: Convert to fraction form
    613,392,534.62/919,765,951.50 = 419,359,439.71/x
  3. Step 3: Cross multiply
    613,392,534.62x = 919,765,951.50 × 419,359,439.71
  4. Step 4: Simplify right side
    613,392,534.62x = 385,712,534,085,512,768
  5. Step 5: Solve for x
    x = 385,712,534,085,512,768/613,392,534.62
  6. Step 6: Final answer
    x = 628,818,435.70

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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.