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Finding the Fourth Proportional to 347,725.80, 521,394.30 and 160,505.64

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Solution

The fourth proportional to 347,725.80, 521,394.30 and 160,505.64 is: 240,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,725.80 : 521,394.30 = 160,505.64 : x
  2. Step 2: Convert to fraction form
    347,725.80/521,394.30 = 160,505.64/x
  3. Step 3: Cross multiply
    347,725.80x = 521,394.30 × 160,505.64
  4. Step 4: Simplify right side
    347,725.80x = 83,686,725,813.85
  5. Step 5: Solve for x
    x = 83,686,725,813.85/347,725.80
  6. Step 6: Final answer
    x = 240,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.