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Finding the Fourth Proportional to 643,865,822.40, 965,798,733.60 and 234,786,014.40

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Solution

The fourth proportional to 643,865,822.40, 965,798,733.60 and 234,786,014.40 is: 352,179,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,865,822.40 : 965,798,733.60 = 234,786,014.40 : x
  2. Step 2: Convert to fraction form
    643,865,822.40/965,798,733.60 = 234,786,014.40/x
  3. Step 3: Cross multiply
    643,865,822.40x = 965,798,733.60 × 234,786,014.40
  4. Step 4: Simplify right side
    643,865,822.40x = 226,756,035,374,511,360
  5. Step 5: Solve for x
    x = 226,756,035,374,511,360/643,865,822.40
  6. Step 6: Final answer
    x = 352,179,021.60

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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.