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Finding the Fourth Proportional to 392,473,211.60, 588,709,817.40 and 270,029,205.20

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Solution

The fourth proportional to 392,473,211.60, 588,709,817.40 and 270,029,205.20 is: 405,043,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,473,211.60 : 588,709,817.40 = 270,029,205.20 : x
  2. Step 2: Convert to fraction form
    392,473,211.60/588,709,817.40 = 270,029,205.20/x
  3. Step 3: Cross multiply
    392,473,211.60x = 588,709,817.40 × 270,029,205.20
  4. Step 4: Simplify right side
    392,473,211.60x = 158,968,844,085,959,104
  5. Step 5: Solve for x
    x = 158,968,844,085,959,104/392,473,211.60
  6. Step 6: Final answer
    x = 405,043,807.80

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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.