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Finding the Fourth Proportional to 400,858,920.90, 561,967,764.30 and 400,858,920.90

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Solution

The fourth proportional to 400,858,920.90, 561,967,764.30 and 400,858,920.90 is: 561,967,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858,920.90 : 561,967,764.30 = 400,858,920.90 : x
  2. Step 2: Convert to fraction form
    400,858,920.90/561,967,764.30 = 400,858,920.90/x
  3. Step 3: Cross multiply
    400,858,920.90x = 561,967,764.30 × 400,858,920.90
  4. Step 4: Simplify right side
    400,858,920.90x = 225,269,791,577,883,520
  5. Step 5: Solve for x
    x = 225,269,791,577,883,520/400,858,920.90
  6. Step 6: Final answer
    x = 561,967,764.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.