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Finding the Fourth Proportional to 426,361.76, 638,932.40 and 313,154

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Solution

The fourth proportional to 426,361.76, 638,932.40 and 313,154 is: 469,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,361.76 : 638,932.40 = 313,154 : x
  2. Step 2: Convert to fraction form
    426,361.76/638,932.40 = 313,154/x
  3. Step 3: Cross multiply
    426,361.76x = 638,932.40 × 313,154
  4. Step 4: Simplify right side
    426,361.76x = 200,084,236,789.60
  5. Step 5: Solve for x
    x = 200,084,236,789.60/426,361.76
  6. Step 6: Final answer
    x = 469,282.79

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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.