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Finding the Fourth Proportional to 345,833.37, 477,293.78 and 209,859.48

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Solution

The fourth proportional to 345,833.37, 477,293.78 and 209,859.48 is: 289,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,833.37 : 477,293.78 = 209,859.48 : x
  2. Step 2: Convert to fraction form
    345,833.37/477,293.78 = 209,859.48/x
  3. Step 3: Cross multiply
    345,833.37x = 477,293.78 × 209,859.48
  4. Step 4: Simplify right side
    345,833.37x = 100,164,625,002.68
  5. Step 5: Solve for x
    x = 100,164,625,002.68/345,833.37
  6. Step 6: Final answer
    x = 289,632.62

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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.