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Finding the Fourth Proportional to 266,903,999.40, 400,355,999.10 and 159,408,575.40

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Solution

The fourth proportional to 266,903,999.40, 400,355,999.10 and 159,408,575.40 is: 239,112,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,903,999.40 : 400,355,999.10 = 159,408,575.40 : x
  2. Step 2: Convert to fraction form
    266,903,999.40/400,355,999.10 = 159,408,575.40/x
  3. Step 3: Cross multiply
    266,903,999.40x = 400,355,999.10 × 159,408,575.40
  4. Step 4: Simplify right side
    266,903,999.40x = 63,820,179,469,374,688
  5. Step 5: Solve for x
    x = 63,820,179,469,374,688/266,903,999.40
  6. Step 6: Final answer
    x = 239,112,863.10

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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.