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Finding the Fourth Proportional to 345,765.48, 477,344.34 and 238,909.92

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Solution

The fourth proportional to 345,765.48, 477,344.34 and 238,909.92 is: 329,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,765.48 : 477,344.34 = 238,909.92 : x
  2. Step 2: Convert to fraction form
    345,765.48/477,344.34 = 238,909.92/x
  3. Step 3: Cross multiply
    345,765.48x = 477,344.34 × 238,909.92
  4. Step 4: Simplify right side
    345,765.48x = 114,042,298,081.85
  5. Step 5: Solve for x
    x = 114,042,298,081.85/345,765.48
  6. Step 6: Final answer
    x = 329,825.57

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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.