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Finding the Fourth Proportional to 354,973.23, 532,716.77 and 138,863.84

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Solution

The fourth proportional to 354,973.23, 532,716.77 and 138,863.84 is: 208,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,973.23 : 532,716.77 = 138,863.84 : x
  2. Step 2: Convert to fraction form
    354,973.23/532,716.77 = 138,863.84/x
  3. Step 3: Cross multiply
    354,973.23x = 532,716.77 × 138,863.84
  4. Step 4: Simplify right side
    354,973.23x = 73,975,092,956.69
  5. Step 5: Solve for x
    x = 73,975,092,956.69/354,973.23
  6. Step 6: Final answer
    x = 208,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.