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Finding the Fourth Proportional to 426,716.40, 588,860.16 and 235,728

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Solution

The fourth proportional to 426,716.40, 588,860.16 and 235,728 is: 325,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,716.40 : 588,860.16 = 235,728 : x
  2. Step 2: Convert to fraction form
    426,716.40/588,860.16 = 235,728/x
  3. Step 3: Cross multiply
    426,716.40x = 588,860.16 × 235,728
  4. Step 4: Simplify right side
    426,716.40x = 138,810,827,796.48
  5. Step 5: Solve for x
    x = 138,810,827,796.48/426,716.40
  6. Step 6: Final answer
    x = 325,299.96

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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.