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Finding the Fourth Proportional to 275,429.60, 413,387.40 and 162,969.20

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Solution

The fourth proportional to 275,429.60, 413,387.40 and 162,969.20 is: 244,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.60 : 413,387.40 = 162,969.20 : x
  2. Step 2: Convert to fraction form
    275,429.60/413,387.40 = 162,969.20/x
  3. Step 3: Cross multiply
    275,429.60x = 413,387.40 × 162,969.20
  4. Step 4: Simplify right side
    275,429.60x = 67,369,413,868.08
  5. Step 5: Solve for x
    x = 67,369,413,868.08/275,429.60
  6. Step 6: Final answer
    x = 244,597.58

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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.