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Finding the Fourth Proportional to 400,858,883.90, 561,967,712.50 and 400,858,883.90

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Solution

The fourth proportional to 400,858,883.90, 561,967,712.50 and 400,858,883.90 is: 561,967,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858,883.90 : 561,967,712.50 = 400,858,883.90 : x
  2. Step 2: Convert to fraction form
    400,858,883.90/561,967,712.50 = 400,858,883.90/x
  3. Step 3: Cross multiply
    400,858,883.90x = 561,967,712.50 × 400,858,883.90
  4. Step 4: Simplify right side
    400,858,883.90x = 225,269,750,020,586,080
  5. Step 5: Solve for x
    x = 225,269,750,020,586,080/400,858,883.90
  6. Step 6: Final answer
    x = 561,967,712.50

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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.