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Finding the Fourth Proportional to 353,882.40, 488,315.43 and 200,865.30

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Solution

The fourth proportional to 353,882.40, 488,315.43 and 200,865.30 is: 277,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882.40 : 488,315.43 = 200,865.30 : x
  2. Step 2: Convert to fraction form
    353,882.40/488,315.43 = 200,865.30/x
  3. Step 3: Cross multiply
    353,882.40x = 488,315.43 × 200,865.30
  4. Step 4: Simplify right side
    353,882.40x = 98,085,625,341.58
  5. Step 5: Solve for x
    x = 98,085,625,341.58/353,882.40
  6. Step 6: Final answer
    x = 277,170.11

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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.