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Finding the Fourth Proportional to 280,092,186.40, 419,854,844.40 and 165,017,495.20

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Solution

The fourth proportional to 280,092,186.40, 419,854,844.40 and 165,017,495.20 is: 247,359,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,092,186.40 : 419,854,844.40 = 165,017,495.20 : x
  2. Step 2: Convert to fraction form
    280,092,186.40/419,854,844.40 = 165,017,495.20/x
  3. Step 3: Cross multiply
    280,092,186.40x = 419,854,844.40 × 165,017,495.20
  4. Step 4: Simplify right side
    280,092,186.40x = 69,283,394,770,473,736
  5. Step 5: Solve for x
    x = 69,283,394,770,473,736/280,092,186.40
  6. Step 6: Final answer
    x = 247,359,255.75

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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.