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Finding the Fourth Proportional to 441,620.40, 662,430.60 and 412,095.90

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Solution

The fourth proportional to 441,620.40, 662,430.60 and 412,095.90 is: 618,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,620.40 : 662,430.60 = 412,095.90 : x
  2. Step 2: Convert to fraction form
    441,620.40/662,430.60 = 412,095.90/x
  3. Step 3: Cross multiply
    441,620.40x = 662,430.60 × 412,095.90
  4. Step 4: Simplify right side
    441,620.40x = 272,984,934,294.54
  5. Step 5: Solve for x
    x = 272,984,934,294.54/441,620.40
  6. Step 6: Final answer
    x = 618,143.85

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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.