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Finding the Fourth Proportional to 394,403.60, 591,097.53 and 343,597.16

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Solution

The fourth proportional to 394,403.60, 591,097.53 and 343,597.16 is: 514,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403.60 : 591,097.53 = 343,597.16 : x
  2. Step 2: Convert to fraction form
    394,403.60/591,097.53 = 343,597.16/x
  3. Step 3: Cross multiply
    394,403.60x = 591,097.53 × 343,597.16
  4. Step 4: Simplify right side
    394,403.60x = 203,099,432,591.02
  5. Step 5: Solve for x
    x = 203,099,432,591.02/394,403.60
  6. Step 6: Final answer
    x = 514,953.29

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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.