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Finding the Fourth Proportional to 485,165.71, 727,888.89 and 200,803.69

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Solution

The fourth proportional to 485,165.71, 727,888.89 and 200,803.69 is: 301,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,165.71 : 727,888.89 = 200,803.69 : x
  2. Step 2: Convert to fraction form
    485,165.71/727,888.89 = 200,803.69/x
  3. Step 3: Cross multiply
    485,165.71x = 727,888.89 × 200,803.69
  4. Step 4: Simplify right side
    485,165.71x = 146,162,775,022.00
  5. Step 5: Solve for x
    x = 146,162,775,022.00/485,165.71
  6. Step 6: Final answer
    x = 301,263.61

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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.