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Finding the Fourth Proportional to 275,629.10, 413,455.80 and 155,684.30

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Solution

The fourth proportional to 275,629.10, 413,455.80 and 155,684.30 is: 233,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,629.10 : 413,455.80 = 155,684.30 : x
  2. Step 2: Convert to fraction form
    275,629.10/413,455.80 = 155,684.30/x
  3. Step 3: Cross multiply
    275,629.10x = 413,455.80 × 155,684.30
  4. Step 4: Simplify right side
    275,629.10x = 64,368,576,803.94
  5. Step 5: Solve for x
    x = 64,368,576,803.94/275,629.10
  6. Step 6: Final answer
    x = 233,533.31

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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.