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Finding the Fourth Proportional to 671,409, 926,544.42 and 385,023.78

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Solution

The fourth proportional to 671,409, 926,544.42 and 385,023.78 is: 531,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,409 : 926,544.42 = 385,023.78 : x
  2. Step 2: Convert to fraction form
    671,409/926,544.42 = 385,023.78/x
  3. Step 3: Cross multiply
    671,409x = 926,544.42 × 385,023.78
  4. Step 4: Simplify right side
    671,409x = 356,741,634,926.31
  5. Step 5: Solve for x
    x = 356,741,634,926.31/671,409
  6. Step 6: Final answer
    x = 531,332.82

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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.