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Finding the Fourth Proportional to 514,411.56, 770,684.22 and 379,809

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Solution

The fourth proportional to 514,411.56, 770,684.22 and 379,809 is: 569,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,411.56 : 770,684.22 = 379,809 : x
  2. Step 2: Convert to fraction form
    514,411.56/770,684.22 = 379,809/x
  3. Step 3: Cross multiply
    514,411.56x = 770,684.22 × 379,809
  4. Step 4: Simplify right side
    514,411.56x = 292,712,802,913.98
  5. Step 5: Solve for x
    x = 292,712,802,913.98/514,411.56
  6. Step 6: Final answer
    x = 569,024.54

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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.