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Finding the Fourth Proportional to 391,133,662.40, 586,700,493.60 and 196,970,052.80

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Solution

The fourth proportional to 391,133,662.40, 586,700,493.60 and 196,970,052.80 is: 295,455,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,133,662.40 : 586,700,493.60 = 196,970,052.80 : x
  2. Step 2: Convert to fraction form
    391,133,662.40/586,700,493.60 = 196,970,052.80/x
  3. Step 3: Cross multiply
    391,133,662.40x = 586,700,493.60 × 196,970,052.80
  4. Step 4: Simplify right side
    391,133,662.40x = 115,562,427,202,178,080
  5. Step 5: Solve for x
    x = 115,562,427,202,178,080/391,133,662.40
  6. Step 6: Final answer
    x = 295,455,079.20

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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.