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Finding the Fourth Proportional to 378,437.72, 567,491.84 and 108,506.30

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Solution

The fourth proportional to 378,437.72, 567,491.84 and 108,506.30 is: 162,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,437.72 : 567,491.84 = 108,506.30 : x
  2. Step 2: Convert to fraction form
    378,437.72/567,491.84 = 108,506.30/x
  3. Step 3: Cross multiply
    378,437.72x = 567,491.84 × 108,506.30
  4. Step 4: Simplify right side
    378,437.72x = 61,576,439,838.59
  5. Step 5: Solve for x
    x = 61,576,439,838.59/378,437.72
  6. Step 6: Final answer
    x = 162,712.22

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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.