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Finding the Fourth Proportional to 351,812.16, 485,585.28 and 200,996.64

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Solution

The fourth proportional to 351,812.16, 485,585.28 and 200,996.64 is: 277,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,812.16 : 485,585.28 = 200,996.64 : x
  2. Step 2: Convert to fraction form
    351,812.16/485,585.28 = 200,996.64/x
  3. Step 3: Cross multiply
    351,812.16x = 485,585.28 × 200,996.64
  4. Step 4: Simplify right side
    351,812.16x = 97,601,009,713.46
  5. Step 5: Solve for x
    x = 97,601,009,713.46/351,812.16
  6. Step 6: Final answer
    x = 277,423.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.