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Finding the Fourth Proportional to 485,953.08, 728,981.46 and 205,498.68

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Solution

The fourth proportional to 485,953.08, 728,981.46 and 205,498.68 is: 308,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,953.08 : 728,981.46 = 205,498.68 : x
  2. Step 2: Convert to fraction form
    485,953.08/728,981.46 = 205,498.68/x
  3. Step 3: Cross multiply
    485,953.08x = 728,981.46 × 205,498.68
  4. Step 4: Simplify right side
    485,953.08x = 149,804,727,774.47
  5. Step 5: Solve for x
    x = 149,804,727,774.47/485,953.08
  6. Step 6: Final answer
    x = 308,269.94

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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.