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Finding the Fourth Proportional to 465,812.20, 699,563.10 and 407,751.40

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Solution

The fourth proportional to 465,812.20, 699,563.10 and 407,751.40 is: 612,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,812.20 : 699,563.10 = 407,751.40 : x
  2. Step 2: Convert to fraction form
    465,812.20/699,563.10 = 407,751.40/x
  3. Step 3: Cross multiply
    465,812.20x = 699,563.10 × 407,751.40
  4. Step 4: Simplify right side
    465,812.20x = 285,247,833,413.34
  5. Step 5: Solve for x
    x = 285,247,833,413.34/465,812.20
  6. Step 6: Final answer
    x = 612,366.60

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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.