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Finding the Fourth Proportional to 485,164.71, 727,887.39 and 200,802.69

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Solution

The fourth proportional to 485,164.71, 727,887.39 and 200,802.69 is: 301,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,164.71 : 727,887.39 = 200,802.69 : x
  2. Step 2: Convert to fraction form
    485,164.71/727,887.39 = 200,802.69/x
  3. Step 3: Cross multiply
    485,164.71x = 727,887.39 × 200,802.69
  4. Step 4: Simplify right side
    485,164.71x = 146,161,745,929.08
  5. Step 5: Solve for x
    x = 146,161,745,929.08/485,164.71
  6. Step 6: Final answer
    x = 301,262.11

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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.