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Finding the Fourth Proportional to 351,886.32, 485,668.08 and 200,983.20

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Solution

The fourth proportional to 351,886.32, 485,668.08 and 200,983.20 is: 277,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,886.32 : 485,668.08 = 200,983.20 : x
  2. Step 2: Convert to fraction form
    351,886.32/485,668.08 = 200,983.20/x
  3. Step 3: Cross multiply
    351,886.32x = 485,668.08 × 200,983.20
  4. Step 4: Simplify right side
    351,886.32x = 97,611,124,856.26
  5. Step 5: Solve for x
    x = 97,611,124,856.26/351,886.32
  6. Step 6: Final answer
    x = 277,393.92

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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.