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Finding the Fourth Proportional to 485,164.21, 727,886.63 and 200,802.19

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Solution

The fourth proportional to 485,164.21, 727,886.63 and 200,802.19 is: 301,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,164.21 : 727,886.63 = 200,802.19 : x
  2. Step 2: Convert to fraction form
    485,164.21/727,886.63 = 200,802.19/x
  3. Step 3: Cross multiply
    485,164.21x = 727,886.63 × 200,802.19
  4. Step 4: Simplify right side
    485,164.21x = 146,161,229,375.72
  5. Step 5: Solve for x
    x = 146,161,229,375.72/485,164.21
  6. Step 6: Final answer
    x = 301,261.36

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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.