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Finding the Fourth Proportional to 378,649.86, 522,443.61 and 231,437.46

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Solution

The fourth proportional to 378,649.86, 522,443.61 and 231,437.46 is: 319,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,649.86 : 522,443.61 = 231,437.46 : x
  2. Step 2: Convert to fraction form
    378,649.86/522,443.61 = 231,437.46/x
  3. Step 3: Cross multiply
    378,649.86x = 522,443.61 × 231,437.46
  4. Step 4: Simplify right side
    378,649.86x = 120,913,022,091.63
  5. Step 5: Solve for x
    x = 120,913,022,091.63/378,649.86
  6. Step 6: Final answer
    x = 319,326.73

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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.