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Finding the Fourth Proportional to 485,761.20, 728,423.10 and 219,384.60

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Solution

The fourth proportional to 485,761.20, 728,423.10 and 219,384.60 is: 328,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,761.20 : 728,423.10 = 219,384.60 : x
  2. Step 2: Convert to fraction form
    485,761.20/728,423.10 = 219,384.60/x
  3. Step 3: Cross multiply
    485,761.20x = 728,423.10 × 219,384.60
  4. Step 4: Simplify right side
    485,761.20x = 159,804,810,424.26
  5. Step 5: Solve for x
    x = 159,804,810,424.26/485,761.20
  6. Step 6: Final answer
    x = 328,978.13

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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.