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Finding the Fourth Proportional to 719,709.96, 993,207.78 and 397,419.60

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Solution

The fourth proportional to 719,709.96, 993,207.78 and 397,419.60 is: 548,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,709.96 : 993,207.78 = 397,419.60 : x
  2. Step 2: Convert to fraction form
    719,709.96/993,207.78 = 397,419.60/x
  3. Step 3: Cross multiply
    719,709.96x = 993,207.78 × 397,419.60
  4. Step 4: Simplify right side
    719,709.96x = 394,720,238,644.49
  5. Step 5: Solve for x
    x = 394,720,238,644.49/719,709.96
  6. Step 6: Final answer
    x = 548,443.48

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1.5x scale

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.