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Finding the Fourth Proportional to 409,690.28, 614,625.64 and 125,383.02

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Solution

The fourth proportional to 409,690.28, 614,625.64 and 125,383.02 is: 188,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,690.28 : 614,625.64 = 125,383.02 : x
  2. Step 2: Convert to fraction form
    409,690.28/614,625.64 = 125,383.02/x
  3. Step 3: Cross multiply
    409,690.28x = 614,625.64 × 125,383.02
  4. Step 4: Simplify right side
    409,690.28x = 77,063,616,294.33
  5. Step 5: Solve for x
    x = 77,063,616,294.33/409,690.28
  6. Step 6: Final answer
    x = 188,102.13

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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.