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Finding the Fourth Proportional to 281,799,009.20, 422,698,513.80 and 178,486,878.80

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Solution

The fourth proportional to 281,799,009.20, 422,698,513.80 and 178,486,878.80 is: 267,730,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,799,009.20 : 422,698,513.80 = 178,486,878.80 : x
  2. Step 2: Convert to fraction form
    281,799,009.20/422,698,513.80 = 178,486,878.80/x
  3. Step 3: Cross multiply
    281,799,009.20x = 422,698,513.80 × 178,486,878.80
  4. Step 4: Simplify right side
    281,799,009.20x = 75,446,138,401,560,736
  5. Step 5: Solve for x
    x = 75,446,138,401,560,736/281,799,009.20
  6. Step 6: Final answer
    x = 267,730,318.20

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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.