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Finding the Fourth Proportional to 660,572,910.40, 990,859,365.60 and 442,894,676.80

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Solution

The fourth proportional to 660,572,910.40, 990,859,365.60 and 442,894,676.80 is: 664,342,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,572,910.40 : 990,859,365.60 = 442,894,676.80 : x
  2. Step 2: Convert to fraction form
    660,572,910.40/990,859,365.60 = 442,894,676.80/x
  3. Step 3: Cross multiply
    660,572,910.40x = 990,859,365.60 × 442,894,676.80
  4. Step 4: Simplify right side
    660,572,910.40x = 438,846,338,481,665,088
  5. Step 5: Solve for x
    x = 438,846,338,481,665,088/660,572,910.40
  6. Step 6: Final answer
    x = 664,342,015.20

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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.