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Finding the Fourth Proportional to 378,640.86, 522,431.19 and 231,428.46

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Solution

The fourth proportional to 378,640.86, 522,431.19 and 231,428.46 is: 319,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,640.86 : 522,431.19 = 231,428.46 : x
  2. Step 2: Convert to fraction form
    378,640.86/522,431.19 = 231,428.46/x
  3. Step 3: Cross multiply
    378,640.86x = 522,431.19 × 231,428.46
  4. Step 4: Simplify right side
    378,640.86x = 120,905,445,757.67
  5. Step 5: Solve for x
    x = 120,905,445,757.67/378,640.86
  6. Step 6: Final answer
    x = 319,314.31

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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.