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Finding the Fourth Proportional to 497,993.40, 687,231.54 and 271,642.68

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Solution

The fourth proportional to 497,993.40, 687,231.54 and 271,642.68 is: 374,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,993.40 : 687,231.54 = 271,642.68 : x
  2. Step 2: Convert to fraction form
    497,993.40/687,231.54 = 271,642.68/x
  3. Step 3: Cross multiply
    497,993.40x = 687,231.54 × 271,642.68
  4. Step 4: Simplify right side
    497,993.40x = 186,681,417,306.13
  5. Step 5: Solve for x
    x = 186,681,417,306.13/497,993.40
  6. Step 6: Final answer
    x = 374,867.25

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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.