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Finding the Fourth Proportional to 378,533.65, 567,857.37 and 122,280.68

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Solution

The fourth proportional to 378,533.65, 567,857.37 and 122,280.68 is: 183,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,533.65 : 567,857.37 = 122,280.68 : x
  2. Step 2: Convert to fraction form
    378,533.65/567,857.37 = 122,280.68/x
  3. Step 3: Cross multiply
    378,533.65x = 567,857.37 × 122,280.68
  4. Step 4: Simplify right side
    378,533.65x = 69,437,985,346.61
  5. Step 5: Solve for x
    x = 69,437,985,346.61/378,533.65
  6. Step 6: Final answer
    x = 183,439.40

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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.