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Finding the Fourth Proportional to 392,911,374.80, 588,233,321.40 and 347,561,742.80

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Solution

The fourth proportional to 392,911,374.80, 588,233,321.40 and 347,561,742.80 is: 520,339,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,911,374.80 : 588,233,321.40 = 347,561,742.80 : x
  2. Step 2: Convert to fraction form
    392,911,374.80/588,233,321.40 = 347,561,742.80/x
  3. Step 3: Cross multiply
    392,911,374.80x = 588,233,321.40 × 347,561,742.80
  4. Step 4: Simplify right side
    392,911,374.80x = 204,447,398,358,816,544
  5. Step 5: Solve for x
    x = 204,447,398,358,816,544/392,911,374.80
  6. Step 6: Final answer
    x = 520,339,729.19

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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.