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Finding the Fourth Proportional to 306,756.88, 423,259.42 and 193,514

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Solution

The fourth proportional to 306,756.88, 423,259.42 and 193,514 is: 267,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,756.88 : 423,259.42 = 193,514 : x
  2. Step 2: Convert to fraction form
    306,756.88/423,259.42 = 193,514/x
  3. Step 3: Cross multiply
    306,756.88x = 423,259.42 × 193,514
  4. Step 4: Simplify right side
    306,756.88x = 81,906,623,401.88
  5. Step 5: Solve for x
    x = 81,906,623,401.88/306,756.88
  6. Step 6: Final answer
    x = 267,008.27

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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.