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Finding the Fourth Proportional to 423,219.65, 635,007.56 and 263,429.22

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Solution

The fourth proportional to 423,219.65, 635,007.56 and 263,429.22 is: 395,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,219.65 : 635,007.56 = 263,429.22 : x
  2. Step 2: Convert to fraction form
    423,219.65/635,007.56 = 263,429.22/x
  3. Step 3: Cross multiply
    423,219.65x = 635,007.56 × 263,429.22
  4. Step 4: Simplify right side
    423,219.65x = 167,279,544,907.76
  5. Step 5: Solve for x
    x = 167,279,544,907.76/423,219.65
  6. Step 6: Final answer
    x = 395,254.68

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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.