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Finding the Fourth Proportional to 728,324, 1,005,147.04 and 401,700.96

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Solution

The fourth proportional to 728,324, 1,005,147.04 and 401,700.96 is: 554,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,324 : 1,005,147.04 = 401,700.96 : x
  2. Step 2: Convert to fraction form
    728,324/1,005,147.04 = 401,700.96/x
  3. Step 3: Cross multiply
    728,324x = 1,005,147.04 × 401,700.96
  4. Step 4: Simplify right side
    728,324x = 403,768,530,909.16
  5. Step 5: Solve for x
    x = 403,768,530,909.16/728,324
  6. Step 6: Final answer
    x = 554,380.37

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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.