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Finding the Fourth Proportional to 719,783.08, 993,316.17 and 397,513.78

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Solution

The fourth proportional to 719,783.08, 993,316.17 and 397,513.78 is: 548,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,783.08 : 993,316.17 = 397,513.78 : x
  2. Step 2: Convert to fraction form
    719,783.08/993,316.17 = 397,513.78/x
  3. Step 3: Cross multiply
    719,783.08x = 993,316.17 × 397,513.78
  4. Step 4: Simplify right side
    719,783.08x = 394,856,865,471.82
  5. Step 5: Solve for x
    x = 394,856,865,471.82/719,783.08
  6. Step 6: Final answer
    x = 548,577.59

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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.