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Finding the Fourth Proportional to 345,934.63, 477,401.65 and 200,729.48

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Solution

The fourth proportional to 345,934.63, 477,401.65 and 200,729.48 is: 277,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,934.63 : 477,401.65 = 200,729.48 : x
  2. Step 2: Convert to fraction form
    345,934.63/477,401.65 = 200,729.48/x
  3. Step 3: Cross multiply
    345,934.63x = 477,401.65 × 200,729.48
  4. Step 4: Simplify right side
    345,934.63x = 95,828,584,955.64
  5. Step 5: Solve for x
    x = 95,828,584,955.64/345,934.63
  6. Step 6: Final answer
    x = 277,013.56

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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.