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Finding the Fourth Proportional to 768,736,194.60, 1,153,104,291.90 and 639,489,743.40

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Solution

The fourth proportional to 768,736,194.60, 1,153,104,291.90 and 639,489,743.40 is: 959,234,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,736,194.60 : 1,153,104,291.90 = 639,489,743.40 : x
  2. Step 2: Convert to fraction form
    768,736,194.60/1,153,104,291.90 = 639,489,743.40/x
  3. Step 3: Cross multiply
    768,736,194.60x = 1,153,104,291.90 × 639,489,743.40
  4. Step 4: Simplify right side
    768,736,194.60x = 737,398,367,740,569,728
  5. Step 5: Solve for x
    x = 737,398,367,740,569,728/768,736,194.60
  6. Step 6: Final answer
    x = 959,234,615.10

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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.