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Finding the Fourth Proportional to 465,442.10, 698,163.15 and 443,790.80

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Solution

The fourth proportional to 465,442.10, 698,163.15 and 443,790.80 is: 665,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,442.10 : 698,163.15 = 443,790.80 : x
  2. Step 2: Convert to fraction form
    465,442.10/698,163.15 = 443,790.80/x
  3. Step 3: Cross multiply
    465,442.10x = 698,163.15 × 443,790.80
  4. Step 4: Simplify right side
    465,442.10x = 309,838,382,869.02
  5. Step 5: Solve for x
    x = 309,838,382,869.02/465,442.10
  6. Step 6: Final answer
    x = 665,686.20

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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.