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Finding the Fourth Proportional to 508,642.20, 763,211.16 and 209,212.56

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Solution

The fourth proportional to 508,642.20, 763,211.16 and 209,212.56 is: 313,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,642.20 : 763,211.16 = 209,212.56 : x
  2. Step 2: Convert to fraction form
    508,642.20/763,211.16 = 209,212.56/x
  3. Step 3: Cross multiply
    508,642.20x = 763,211.16 × 209,212.56
  4. Step 4: Simplify right side
    508,642.20x = 159,673,360,604.17
  5. Step 5: Solve for x
    x = 159,673,360,604.17/508,642.20
  6. Step 6: Final answer
    x = 313,920.79

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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.