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Finding the Fourth Proportional to 454,642, 627,406 and 253,438

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Solution

The fourth proportional to 454,642, 627,406 and 253,438 is: 349,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,642 : 627,406 = 253,438 : x
  2. Step 2: Convert to fraction form
    454,642/627,406 = 253,438/x
  3. Step 3: Cross multiply
    454,642x = 627,406 × 253,438
  4. Step 4: Simplify right side
    454,642x = 159,008,521,828
  5. Step 5: Solve for x
    x = 159,008,521,828/454,642
  6. Step 6: Final answer
    x = 349,744.46

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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.