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Finding the Fourth Proportional to 415,378.67, 573,234.37 and 231,621.47

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Solution

The fourth proportional to 415,378.67, 573,234.37 and 231,621.47 is: 319,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,378.67 : 573,234.37 = 231,621.47 : x
  2. Step 2: Convert to fraction form
    415,378.67/573,234.37 = 231,621.47/x
  3. Step 3: Cross multiply
    415,378.67x = 573,234.37 × 231,621.47
  4. Step 4: Simplify right side
    415,378.67x = 132,773,383,988.70
  5. Step 5: Solve for x
    x = 132,773,383,988.70/415,378.67
  6. Step 6: Final answer
    x = 319,644.21

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1.5x scale

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.