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Finding the Fourth Proportional to 513,381.13, 770,073 and 209,775.29

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Solution

The fourth proportional to 513,381.13, 770,073 and 209,775.29 is: 314,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381.13 : 770,073 = 209,775.29 : x
  2. Step 2: Convert to fraction form
    513,381.13/770,073 = 209,775.29/x
  3. Step 3: Cross multiply
    513,381.13x = 770,073 × 209,775.29
  4. Step 4: Simplify right side
    513,381.13x = 161,542,288,821.35
  5. Step 5: Solve for x
    x = 161,542,288,821.35/513,381.13
  6. Step 6: Final answer
    x = 314,663.47

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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.