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Finding the Fourth Proportional to 400,658.40, 552,815.28 and 264,889.44

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Solution

The fourth proportional to 400,658.40, 552,815.28 and 264,889.44 is: 365,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658.40 : 552,815.28 = 264,889.44 : x
  2. Step 2: Convert to fraction form
    400,658.40/552,815.28 = 264,889.44/x
  3. Step 3: Cross multiply
    400,658.40x = 552,815.28 × 264,889.44
  4. Step 4: Simplify right side
    400,658.40x = 146,434,929,942.64
  5. Step 5: Solve for x
    x = 146,434,929,942.64/400,658.40
  6. Step 6: Final answer
    x = 365,485.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.