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Finding the Fourth Proportional to 331,683.32, 457,788.32 and 231,023

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Solution

The fourth proportional to 331,683.32, 457,788.32 and 231,023 is: 318,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,683.32 : 457,788.32 = 231,023 : x
  2. Step 2: Convert to fraction form
    331,683.32/457,788.32 = 231,023/x
  3. Step 3: Cross multiply
    331,683.32x = 457,788.32 × 231,023
  4. Step 4: Simplify right side
    331,683.32x = 105,759,631,051.36
  5. Step 5: Solve for x
    x = 105,759,631,051.36/331,683.32
  6. Step 6: Final answer
    x = 318,857.25

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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.