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Finding the Fourth Proportional to 485,729.40, 728,421.30 and 219,617.40

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Solution

The fourth proportional to 485,729.40, 728,421.30 and 219,617.40 is: 329,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,729.40 : 728,421.30 = 219,617.40 : x
  2. Step 2: Convert to fraction form
    485,729.40/728,421.30 = 219,617.40/x
  3. Step 3: Cross multiply
    485,729.40x = 728,421.30 × 219,617.40
  4. Step 4: Simplify right side
    485,729.40x = 159,973,992,010.62
  5. Step 5: Solve for x
    x = 159,973,992,010.62/485,729.40
  6. Step 6: Final answer
    x = 329,347.97

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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.