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Finding the Fourth Proportional to 1,063,755,865.62, 1,468,374,820.53 and 640,389,205.02

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Solution

The fourth proportional to 1,063,755,865.62, 1,468,374,820.53 and 640,389,205.02 is: 883,972,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,755,865.62 : 1,468,374,820.53 = 640,389,205.02 : x
  2. Step 2: Convert to fraction form
    1,063,755,865.62/1,468,374,820.53 = 640,389,205.02/x
  3. Step 3: Cross multiply
    1,063,755,865.62x = 1,468,374,820.53 × 640,389,205.02
  4. Step 4: Simplify right side
    1,063,755,865.62x = 940,331,383,990,591,872
  5. Step 5: Solve for x
    x = 940,331,383,990,591,872/1,063,755,865.62
  6. Step 6: Final answer
    x = 883,972,924.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.