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Finding the Fourth Proportional to 613,846.20, 847,238.46 and 412,525.56

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Solution

The fourth proportional to 613,846.20, 847,238.46 and 412,525.56 is: 569,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,846.20 : 847,238.46 = 412,525.56 : x
  2. Step 2: Convert to fraction form
    613,846.20/847,238.46 = 412,525.56/x
  3. Step 3: Cross multiply
    613,846.20x = 847,238.46 × 412,525.56
  4. Step 4: Simplify right side
    613,846.20x = 349,507,520,165.04
  5. Step 5: Solve for x
    x = 349,507,520,165.04/613,846.20
  6. Step 6: Final answer
    x = 569,373.11

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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.