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Finding the Fourth Proportional to 323,517,393.60, 485,276,090.40 and 214,678,276.80

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Solution

The fourth proportional to 323,517,393.60, 485,276,090.40 and 214,678,276.80 is: 322,017,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,517,393.60 : 485,276,090.40 = 214,678,276.80 : x
  2. Step 2: Convert to fraction form
    323,517,393.60/485,276,090.40 = 214,678,276.80/x
  3. Step 3: Cross multiply
    323,517,393.60x = 485,276,090.40 × 214,678,276.80
  4. Step 4: Simplify right side
    323,517,393.60x = 104,178,234,859,313,024
  5. Step 5: Solve for x
    x = 104,178,234,859,313,024/323,517,393.60
  6. Step 6: Final answer
    x = 322,017,415.20

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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.