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Finding the Fourth Proportional to 822,059.20, 1,231,776.60 and 688,214.80

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Solution

The fourth proportional to 822,059.20, 1,231,776.60 and 688,214.80 is: 1,031,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,059.20 : 1,231,776.60 = 688,214.80 : x
  2. Step 2: Convert to fraction form
    822,059.20/1,231,776.60 = 688,214.80/x
  3. Step 3: Cross multiply
    822,059.20x = 1,231,776.60 × 688,214.80
  4. Step 4: Simplify right side
    822,059.20x = 847,726,886,413.68
  5. Step 5: Solve for x
    x = 847,726,886,413.68/822,059.20
  6. Step 6: Final answer
    x = 1,031,223.65

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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.