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Finding the Fourth Proportional to 323,714,511.20, 485,571,766.80 and 289,702,287.20

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Solution

The fourth proportional to 323,714,511.20, 485,571,766.80 and 289,702,287.20 is: 434,553,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,714,511.20 : 485,571,766.80 = 289,702,287.20 : x
  2. Step 2: Convert to fraction form
    323,714,511.20/485,571,766.80 = 289,702,287.20/x
  3. Step 3: Cross multiply
    323,714,511.20x = 485,571,766.80 × 289,702,287.20
  4. Step 4: Simplify right side
    323,714,511.20x = 140,671,251,441,705,024
  5. Step 5: Solve for x
    x = 140,671,251,441,705,024/323,714,511.20
  6. Step 6: Final answer
    x = 434,553,430.80

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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.