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Finding the Fourth Proportional to 485,648.70, 728,254.35 and 219,272.10

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Solution

The fourth proportional to 485,648.70, 728,254.35 and 219,272.10 is: 328,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,648.70 : 728,254.35 = 219,272.10 : x
  2. Step 2: Convert to fraction form
    485,648.70/728,254.35 = 219,272.10/x
  3. Step 3: Cross multiply
    485,648.70x = 728,254.35 × 219,272.10
  4. Step 4: Simplify right side
    485,648.70x = 159,685,860,658.64
  5. Step 5: Solve for x
    x = 159,685,860,658.64/485,648.70
  6. Step 6: Final answer
    x = 328,809.41

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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.