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Finding the Fourth Proportional to 345,708.78, 477,109.44 and 209,777.17

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Solution

The fourth proportional to 345,708.78, 477,109.44 and 209,777.17 is: 289,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,708.78 : 477,109.44 = 209,777.17 : x
  2. Step 2: Convert to fraction form
    345,708.78/477,109.44 = 209,777.17/x
  3. Step 3: Cross multiply
    345,708.78x = 477,109.44 × 209,777.17
  4. Step 4: Simplify right side
    345,708.78x = 100,086,668,103.49
  5. Step 5: Solve for x
    x = 100,086,668,103.49/345,708.78
  6. Step 6: Final answer
    x = 289,511.50

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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.