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Finding the Fourth Proportional to 378,641.39, 522,431.88 and 231,428.96

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Solution

The fourth proportional to 378,641.39, 522,431.88 and 231,428.96 is: 319,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,641.39 : 522,431.88 = 231,428.96 : x
  2. Step 2: Convert to fraction form
    378,641.39/522,431.88 = 231,428.96/x
  3. Step 3: Cross multiply
    378,641.39x = 522,431.88 × 231,428.96
  4. Step 4: Simplify right side
    378,641.39x = 120,905,866,659.25
  5. Step 5: Solve for x
    x = 120,905,866,659.25/378,641.39
  6. Step 6: Final answer
    x = 319,314.98

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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.