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Finding the Fourth Proportional to 485,281.92, 728,331.84 and 205,000.32

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Solution

The fourth proportional to 485,281.92, 728,331.84 and 205,000.32 is: 307,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,281.92 : 728,331.84 = 205,000.32 : x
  2. Step 2: Convert to fraction form
    485,281.92/728,331.84 = 205,000.32/x
  3. Step 3: Cross multiply
    485,281.92x = 728,331.84 × 205,000.32
  4. Step 4: Simplify right side
    485,281.92x = 149,308,260,266.19
  5. Step 5: Solve for x
    x = 149,308,260,266.19/485,281.92
  6. Step 6: Final answer
    x = 307,673.24

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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.