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Finding the Fourth Proportional to 412,996,363.61, 619,511,641.85 and 121,863,480.84

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Solution

The fourth proportional to 412,996,363.61, 619,511,641.85 and 121,863,480.84 is: 182,800,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,996,363.61 : 619,511,641.85 = 121,863,480.84 : x
  2. Step 2: Convert to fraction form
    412,996,363.61/619,511,641.85 = 121,863,480.84/x
  3. Step 3: Cross multiply
    412,996,363.61x = 619,511,641.85 × 121,863,480.84
  4. Step 4: Simplify right side
    412,996,363.61x = 75,495,845,096,135,104
  5. Step 5: Solve for x
    x = 75,495,845,096,135,104/412,996,363.61
  6. Step 6: Final answer
    x = 182,800,265.93

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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.