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Finding the Fourth Proportional to 468,745, 646,867.78 and 253,885

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Solution

The fourth proportional to 468,745, 646,867.78 and 253,885 is: 350,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,745 : 646,867.78 = 253,885 : x
  2. Step 2: Convert to fraction form
    468,745/646,867.78 = 253,885/x
  3. Step 3: Cross multiply
    468,745x = 646,867.78 × 253,885
  4. Step 4: Simplify right side
    468,745x = 164,230,026,325.30
  5. Step 5: Solve for x
    x = 164,230,026,325.30/468,745
  6. Step 6: Final answer
    x = 350,361.13

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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.