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Finding the Fourth Proportional to 295,489,319.20, 443,233,978.80 and 142,434,311.20

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Solution

The fourth proportional to 295,489,319.20, 443,233,978.80 and 142,434,311.20 is: 213,651,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,489,319.20 : 443,233,978.80 = 142,434,311.20 : x
  2. Step 2: Convert to fraction form
    295,489,319.20/443,233,978.80 = 142,434,311.20/x
  3. Step 3: Cross multiply
    295,489,319.20x = 443,233,978.80 × 142,434,311.20
  4. Step 4: Simplify right side
    295,489,319.20x = 63,131,726,470,813,400
  5. Step 5: Solve for x
    x = 63,131,726,470,813,400/295,489,319.20
  6. Step 6: Final answer
    x = 213,651,466.80

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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.