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Finding the Fourth Proportional to 1,188,029,897.70, 1,781,336,258.55 and 728,298,003.30

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Solution

The fourth proportional to 1,188,029,897.70, 1,781,336,258.55 and 728,298,003.30 is: 1,092,012,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,029,897.70 : 1,781,336,258.55 = 728,298,003.30 : x
  2. Step 2: Convert to fraction form
    1,188,029,897.70/1,781,336,258.55 = 728,298,003.30/x
  3. Step 3: Cross multiply
    1,188,029,897.70x = 1,781,336,258.55 × 728,298,003.30
  4. Step 4: Simplify right side
    1,188,029,897.70x = 1,297,343,640,307,857,408
  5. Step 5: Solve for x
    x = 1,297,343,640,307,857,408/1,188,029,897.70
  6. Step 6: Final answer
    x = 1,092,012,619.23

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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.