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Finding the Fourth Proportional to 719,634.16, 993,076.22 and 397,337.32

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Solution

The fourth proportional to 719,634.16, 993,076.22 and 397,337.32 is: 548,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,634.16 : 993,076.22 = 397,337.32 : x
  2. Step 2: Convert to fraction form
    719,634.16/993,076.22 = 397,337.32/x
  3. Step 3: Cross multiply
    719,634.16x = 993,076.22 × 397,337.32
  4. Step 4: Simplify right side
    719,634.16x = 394,586,243,810.53
  5. Step 5: Solve for x
    x = 394,586,243,810.53/719,634.16
  6. Step 6: Final answer
    x = 548,315.05

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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.