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Finding the Fourth Proportional to 1,736,690,978.40, 2,604,240,205.20 and 766,843,375.20

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Solution

The fourth proportional to 1,736,690,978.40, 2,604,240,205.20 and 766,843,375.20 is: 1,149,913,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,690,978.40 : 2,604,240,205.20 = 766,843,375.20 : x
  2. Step 2: Convert to fraction form
    1,736,690,978.40/2,604,240,205.20 = 766,843,375.20/x
  3. Step 3: Cross multiply
    1,736,690,978.40x = 2,604,240,205.20 × 766,843,375.20
  4. Step 4: Simplify right side
    1,736,690,978.40x = 1,997,044,348,787,108,608
  5. Step 5: Solve for x
    x = 1,997,044,348,787,108,608/1,736,690,978.40
  6. Step 6: Final answer
    x = 1,149,913,469.71

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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.