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Finding the Fourth Proportional to 475,923.78, 656,889.12 and 323,216.46

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Solution

The fourth proportional to 475,923.78, 656,889.12 and 323,216.46 is: 446,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,923.78 : 656,889.12 = 323,216.46 : x
  2. Step 2: Convert to fraction form
    475,923.78/656,889.12 = 323,216.46/x
  3. Step 3: Cross multiply
    475,923.78x = 656,889.12 × 323,216.46
  4. Step 4: Simplify right side
    475,923.78x = 212,317,375,978.92
  5. Step 5: Solve for x
    x = 212,317,375,978.92/475,923.78
  6. Step 6: Final answer
    x = 446,116.34

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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.