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Finding the Fourth Proportional to 454,402.92, 681,606 and 138,858.51

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Solution

The fourth proportional to 454,402.92, 681,606 and 138,858.51 is: 208,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,402.92 : 681,606 = 138,858.51 : x
  2. Step 2: Convert to fraction form
    454,402.92/681,606 = 138,858.51/x
  3. Step 3: Cross multiply
    454,402.92x = 681,606 × 138,858.51
  4. Step 4: Simplify right side
    454,402.92x = 94,646,793,567.06
  5. Step 5: Solve for x
    x = 94,646,793,567.06/454,402.92
  6. Step 6: Final answer
    x = 208,288.26

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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.