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Finding the Fourth Proportional to 450,865.29, 676,401.62 and 135,328.17

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Solution

The fourth proportional to 450,865.29, 676,401.62 and 135,328.17 is: 203,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,865.29 : 676,401.62 = 135,328.17 : x
  2. Step 2: Convert to fraction form
    450,865.29/676,401.62 = 135,328.17/x
  3. Step 3: Cross multiply
    450,865.29x = 676,401.62 × 135,328.17
  4. Step 4: Simplify right side
    450,865.29x = 91,536,192,742.99
  5. Step 5: Solve for x
    x = 91,536,192,742.99/450,865.29
  6. Step 6: Final answer
    x = 203,023.37

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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.