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Finding the Fourth Proportional to 392,473,213.60, 588,709,820.40 and 270,029,207.20

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Solution

The fourth proportional to 392,473,213.60, 588,709,820.40 and 270,029,207.20 is: 405,043,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,473,213.60 : 588,709,820.40 = 270,029,207.20 : x
  2. Step 2: Convert to fraction form
    392,473,213.60/588,709,820.40 = 270,029,207.20/x
  3. Step 3: Cross multiply
    392,473,213.60x = 588,709,820.40 × 270,029,207.20
  4. Step 4: Simplify right side
    392,473,213.60x = 158,968,846,073,466,368
  5. Step 5: Solve for x
    x = 158,968,846,073,466,368/392,473,213.60
  6. Step 6: Final answer
    x = 405,043,810.80

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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.