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Finding the Fourth Proportional to 485,456,889.60, 728,185,334.40 and 477,394,732.80

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Solution

The fourth proportional to 485,456,889.60, 728,185,334.40 and 477,394,732.80 is: 716,092,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,456,889.60 : 728,185,334.40 = 477,394,732.80 : x
  2. Step 2: Convert to fraction form
    485,456,889.60/728,185,334.40 = 477,394,732.80/x
  3. Step 3: Cross multiply
    485,456,889.60x = 728,185,334.40 × 477,394,732.80
  4. Step 4: Simplify right side
    485,456,889.60x = 347,631,843,144,766,656
  5. Step 5: Solve for x
    x = 347,631,843,144,766,656/485,456,889.60
  6. Step 6: Final answer
    x = 716,092,099.20

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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.