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Finding the Fourth Proportional to 378,004.89, 566,810.47 and 178,271.65

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Solution

The fourth proportional to 378,004.89, 566,810.47 and 178,271.65 is: 267,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,004.89 : 566,810.47 = 178,271.65 : x
  2. Step 2: Convert to fraction form
    378,004.89/566,810.47 = 178,271.65/x
  3. Step 3: Cross multiply
    378,004.89x = 566,810.47 × 178,271.65
  4. Step 4: Simplify right side
    378,004.89x = 101,046,237,724.18
  5. Step 5: Solve for x
    x = 101,046,237,724.18/378,004.89
  6. Step 6: Final answer
    x = 267,314.63

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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.