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Finding the Fourth Proportional to 378,562.76, 567,283.12 and 153,649.56

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Solution

The fourth proportional to 378,562.76, 567,283.12 and 153,649.56 is: 230,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,562.76 : 567,283.12 = 153,649.56 : x
  2. Step 2: Convert to fraction form
    378,562.76/567,283.12 = 153,649.56/x
  3. Step 3: Cross multiply
    378,562.76x = 567,283.12 × 153,649.56
  4. Step 4: Simplify right side
    378,562.76x = 87,162,801,783.43
  5. Step 5: Solve for x
    x = 87,162,801,783.43/378,562.76
  6. Step 6: Final answer
    x = 230,246.64

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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.