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Finding the Fourth Proportional to 423,216.32, 635,072.76 and 157,161.56

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Solution

The fourth proportional to 423,216.32, 635,072.76 and 157,161.56 is: 235,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,216.32 : 635,072.76 = 157,161.56 : x
  2. Step 2: Convert to fraction form
    423,216.32/635,072.76 = 157,161.56/x
  3. Step 3: Cross multiply
    423,216.32x = 635,072.76 × 157,161.56
  4. Step 4: Simplify right side
    423,216.32x = 99,809,025,675.11
  5. Step 5: Solve for x
    x = 99,809,025,675.11/423,216.32
  6. Step 6: Final answer
    x = 235,834.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.