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Finding the Fourth Proportional to 394,135.50, 543,909.15 and 215,287.50

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Solution

The fourth proportional to 394,135.50, 543,909.15 and 215,287.50 is: 297,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,135.50 : 543,909.15 = 215,287.50 : x
  2. Step 2: Convert to fraction form
    394,135.50/543,909.15 = 215,287.50/x
  3. Step 3: Cross multiply
    394,135.50x = 543,909.15 × 215,287.50
  4. Step 4: Simplify right side
    394,135.50x = 117,096,841,130.63
  5. Step 5: Solve for x
    x = 117,096,841,130.63/394,135.50
  6. Step 6: Final answer
    x = 297,097.93

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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.